132951564 has 48 divisors (see below), whose sum is σ = 345520000. Its totient is φ = 44210448.

The previous prime is 132951563. The next prime is 132951593. The reversal of 132951564 is 465159231.

132951564 is a `hidden beast` number, since 1 + 3 + 2 + 95 + 1 + 564 = 666.

It is a super-2 number, since 2×132951564² = 35352236740092192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132951563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52659 + ... + 55125.

Almost surely, 2^132951564 is an apocalyptic number.

It is an amenable number.

132951564 is an abundant number, since it is smaller than the sum of its proper divisors (212568436).

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

132951564 is a wasteful number, since it uses less digits than its factorization.

132951564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2971 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 132951564 is about 11530.4624365201. The cubic root of 132951564 is about 510.3848997524.

The spelling of 132951564 in words is "one hundred thirty-two million, nine hundred fifty-one thousand, five hundred sixty-four".