132624864 has 120 divisors (see below), whose sum is σ = 410727240. Its totient is φ = 41865984.

The previous prime is 132624847. The next prime is 132624881. The reversal of 132624864 is 468426231.

It is an interprime number because it is at equal distance from previous prime (132624847) and next prime (132624881).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47902 + ... + 50594.

It is an arithmetic number, because the mean of its divisors is an integer number (3422727).

Almost surely, 2^132624864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132624864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205363620).

132624864 is an abundant number, since it is smaller than the sum of its proper divisors (278102376).

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

132624864 is a wasteful number, since it uses less digits than its factorization.

132624864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2717 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 132624864 is about 11516.2869016016. The cubic root of 132624864 is about 509.9665029903.

The spelling of 132624864 in words is "one hundred thirty-two million, six hundred twenty-four thousand, eight hundred sixty-four".