132357600 has 216 divisors, whose sum is σ = 482594112. Its totient is φ = 34099200.

The previous prime is 132357587. The next prime is 132357601. The reversal of 132357600 is 6753231.

It is a happy number.

132357600 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 57 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132357601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222904 + ... + 223496.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^132357600 is an apocalyptic number.

132357600 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 132357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297056).

132357600 is an abundant number, since it is smaller than the sum of its proper divisors (350236512).

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

132357600 is a wasteful number, since it uses less digits than its factorization.

132357600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 132357600 is about 11504.6773096858. The cubic root of 132357600 is about 509.6237132102.

The spelling of 132357600 in words is "one hundred thirty-two million, three hundred fifty-seven thousand, six hundred".