133056924 has 288 divisors, whose sum is σ = 450455040. Its totient is φ = 29652480.

The previous prime is 133056919. The next prime is 133056941. The reversal of 133056924 is 429650331.

133056924 = T₂₄₀ + T₂₄₁ + ... + T₉₃₂.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2510482 + ... + 2510534.

It is an arithmetic number, because the mean of its divisors is an integer number (1564080).

Almost surely, 2^133056924 is an apocalyptic number.

133056924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133056924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225227520).

133056924 is an abundant number, since it is smaller than the sum of its proper divisors (317398116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133056924 is a wasteful number, since it uses less digits than its factorization.

133056924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 133056924 is about 11535.0302990499. The cubic root of 133056924 is about 510.5196855669.

It can be divided in two parts, 133056 and 924, that multiplied together give a square (122943744 = 11088²).

The spelling of 133056924 in words is "one hundred thirty-three million, fifty-six thousand, nine hundred twenty-four".