133 (number)

133 (one hundred [and] thirty-three) is a natural number. It is after 132 and before 134.

132 133 134
Cardinalone hundred and thirty-three
Ordinal133rd
(one hundred and thirty-third)
Factorization7 · 19
Divisors1, 7, 19, 133
Roman numeralCXXXIII
Binary100001012
Ternary112213
Quaternary20114
Quinary10135
Senary3416
Octal2058
DuodecimalB112
Hexadecimal8516
Vigesimal6D20
Base 363P36

In mathematics

The sum of 133's proper divisors is equal to φ(n).

133 is an octagonal number,[1] a Harshad number[2] and a happy number.[3]

In base 11(111) and base 18(77), 133 is a repdigit(a natural number that has only one type of digit).

133 is a semiprime number number(a product of 7 and 19). 7 and 19 are both Gaussian primes. This makes that 133 is a Blum integer

In other fields

133 is also:

References

  1. "Sloane's A000567 : Octagonal numbers". 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.
  3. "Sloane's A007770 : Happy numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  4. Porter, Darwin; Danforth Prince (2009). Frommer's Austria. Hoboken, New Jersey: Frommer's. p. 482. ISBN 978-0-470-39897-5.