133031772 has 36 divisors (see below), whose sum is σ = 336849240. Its totient is φ = 44268192.

The previous prime is 133031737. The next prime is 133031779. The reversal of 133031772 is 277130331.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×133031772² = 35394904722919968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133031779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20679 + ... + 26337.

Almost surely, 2^133031772 is an apocalyptic number.

133031772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133031772 is an abundant number, since it is smaller than the sum of its proper divisors (203817468).

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

133031772 is a wasteful number, since it uses less digits than its factorization.

133031772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6322 (or 6317 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 133031772 is about 11533.9400033120. The cubic root of 133031772 is about 510.4875153750.

The spelling of 133031772 in words is "one hundred thirty-three million, thirty-one thousand, seven hundred seventy-two".