135 (number)

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← 134 135 136 →
Cardinal one hundred thirty-five
Ordinal 135th
(one hundred thirty-fifth)
Factorization 33× 5
Divisors 1, 3, 5, 9, 15, 27, 45, 135
Greek numeral ΡΛΕ´
Roman numeral CXXXV
Binary 100001112
Ternary 120003
Quaternary 20134
Quinary 10205
Senary 3436
Octal 2078
Duodecimal B312
Hexadecimal 8716
Vigesimal 6F20
Base 36 3R36

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

In mathematics[edit]

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,

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

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

135 is a Harshad number,[2] and a repdigit in bases 18 and 26.

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

for . This polynomial plays an essential role in Apéry's proof that is irrational.

In the military[edit]

In transportation[edit]

In other fields[edit]

See also[edit]

References[edit]

  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 A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.