132564960 has 144 divisors (see below), whose sum is σ = 493562160. Its totient is φ = 32133120.

The previous prime is 132564947. The next prime is 132564961. The reversal of 132564960 is 69465231.

It is a happy number.

132564960 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132564961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11656 + ... + 20024.

It is an arithmetic number, because the mean of its divisors is an integer number (3427515).

Almost surely, 2^132564960 is an apocalyptic number.

132564960 is a gapful number since it is divisible by the number (10) 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 132564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246781080).

132564960 is an abundant number, since it is smaller than the sum of its proper divisors (360997200).

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

132564960 is a wasteful number, since it uses less digits than its factorization.

132564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8401 (or 8390 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 132564960 is about 11513.6857695527. The cubic root of 132564960 is about 509.8897108688.

The spelling of 132564960 in words is "one hundred thirty-two million, five hundred sixty-four thousand, nine hundred sixty".