135 (number)

135 (one hundred [and] thirty-five) is the natural number following 134 and preceding 136.

← 134 135 136 →
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Cardinal	one hundred thirty-five
Ordinal	135th (one hundred thirty-fifth)
Factorization	3^3 × 5
Divisors	1, 3, 5, 9, 15, 27, 45, 135
Greek numeral	ΡΛΕ´
Roman numeral	CXXXV
Binary	100001112
Ternary	120003
Octal	2078
Duodecimal	B312
Hexadecimal	8716

In mathematics

This number in base 10 can be expressed in operations using its own digits in at least two different ways. One is as a sum-product number,

${\displaystyle 135=(1+3+5)(1\times 3\times 5)}$

(1 and 144 share this property)[1] and the other is as the sum of consecutive powers of its digits:[2]

${\displaystyle 135=1^{1}+3^{2}+5^{3}}$

(175, 518, and 598 also have this property).

135 is a Harshad number.[3]

There are a total of 135 primes between 1,000 and 2,000.

${\displaystyle 135=11n^{2}+11n+3}$ for ${\displaystyle n=3}$. This polynomial plays an essential role in Apéry's proof that ${\displaystyle \zeta (3)}$ is irrational.

In the military

• KC-135 Stratotanker is a United States Air Force United States aerial refueling tanker aircraft in service since 1957
• OC-135B Open Skies United States Air Force observation aircraft supports the flies unarmed observation flights over nations of the Treaty on Open Skies
• United States Air Force C-135 derived from the Boeing 707 jetliner
• USNS Mission Solano (AO-135) was a Mission Buenaventura-class fleet oiler during World War II
• USS Bosque (APA-135) was a United States Navy Haskell-class attack transport during World War II
• USS Flaherty (DE-135) was a United States Navy Edsall-class destroyer escort during World War II
• USS General W. M. Black (AP-135) was a United States Navy General G. O. Squier-class transport ship during World War II
• USS Los Angeles (CA-135) was a Baltimore-class cruiser during World War II
• USS Merganser (AM-135) was a United States Navy Hawk-class minesweeper during World War II
• USS S-30 (SS-135) was an S-class submarine of the United States Navy during World War II
• USS Tillman (DD-135) was a United States Navy Wickes-class destroyer
• USS Venus (AK-135) was a United States Navy Crater-class cargo ship during World War II
• USS Weiss (APD-135) was a United States Navy Crosley-class high-speed transport ship during the Battle of Guadalcanal
• Electronic Attack Squadron 135 (VAQ-135) is a United States Navy electronic attack squadron stationed at Naval Air Station Whidbey Island, in Oak Harbor, Washington

In transportation

• London Buses route 135 is a Transport for London contracted bus route in London
• 135th Street station on the IND Eighth Avenue Line of the New York City Subway on St. Nicholas Avenue in Manhattan
• 135th Street station on the IRT Lenox Avenue Line of the New York City Subway on Lenox Avenue in Manhattan

In other fields

• The year AD 135 or 135 BC
• 135 AH is a year in the Islamic calendar that corresponds to 752–753 CE
• 135 Hertha is a large main belt asteroid which orbits among the Nysa asteroid family
• 135 film, the cartridge version of 35mm photographic film, used widely in still photography
• The Canon FD 135 mm lens
• In astrology, when two planets are 135 degrees apart, they are in an astrological aspect called a sesquiquadrate. The aspect was first used by Johannes Kepler
• Sonnet 135 by William Shakespeare
• Municipal District of Peace No. 135, a municipal district in northwest Alberta, Canada
• Enoch Cree Nation 135 Indian reserve in Alberta, Canada is home to the Enoch Cree Nation
• The EZ 135 Drive removable hard disk drive introduced by SyQuest Technology in 1995

See also

• List of highways numbered 135
• United Nations Security Council Resolution 135
• United States Supreme Court cases, Volume 135

References

1. "Sloane's A038369 : Numbers n such that n = (product of digits of n) * (sum of digits of n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
2. "Sloane's A032799: Numbers n such that n equals the sum of its digits raised to the consecutive powers (1,2,3,...)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2019-12-08.
3. "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.