132652800 has 486 divisors, whose sum is σ = 563432688. Its totient is φ = 29675520.

The previous prime is 132652787. The next prime is 132652801. The reversal of 132652800 is 8256231.

132652800 is a `hidden beast` number, since 1 + 3 + 2 + 652 + 8 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132652801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2822377 + ... + 2822423.

Almost surely, 2^132652800 is an apocalyptic number.

132652800 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 132652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281716344).

132652800 is an abundant number, since it is smaller than the sum of its proper divisors (430779888).

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

132652800 is a wasteful number, since it uses less digits than its factorization.

132652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 132652800 is about 11517.4997286738. The cubic root of 132652800 is about 510.0023067946.

The spelling of 132652800 in words is "one hundred thirty-two million, six hundred fifty-two thousand, eight hundred".