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133 (number)

Field	Value
number	133
divisor	1, 7, 19, 133
roman	CXXXIII

133 (one hundred [and] thirty-three) is the natural number following 132 and preceding 134.

In mathematics

133 is an n whose divisors (excluding n itself) added up divide φ(n). It is an octagonal number and a happy number.

133 is a Harshad number, because it is divisible by the sum of its digits.

133 is a repdigit in base 11 (111) and base 18 (77), whilst in base 20 it is a cyclic number formed from the reciprocal of the number three.

133 is a semiprime: a product of two prime numbers, namely 7 and 19. Since those prime factors are Gaussian primes, this means that 133 is a Blum integer.

133 is the number of compositions of 13 into distinct parts.

133 is the 100th composite number.

References

"Sloane's A000567 : Octagonal numbers". OEIS Foundation.
"Sloane's A007770 : Happy numbers". OEIS Foundation.
{{cite OEIS. A032020. Number of compositions (ordered partitions) of n into distinct parts

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