132432800 has 36 divisors (see below), whose sum is σ = 323303526. Its totient is φ = 52972800.

The previous prime is 132432799. The next prime is 132432809. The reversal of 132432800 is 8234231.

132432800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 63808144 + 68624656 = 7988^2 + 8284^2 .

It is not an unprimeable number, because it can be changed into a prime (132432809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81971 + ... + 83570.

Almost surely, 2^132432800 is an apocalyptic number.

132432800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132432800 is an abundant number, since it is smaller than the sum of its proper divisors (190870726).

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

132432800 is a wasteful number, since it uses less digits than its factorization.

132432800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165561 (or 165548 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 132432800 is about 11507.9450815513. The cubic root of 132432800 is about 509.7202104962.

The spelling of 132432800 in words is "one hundred thirty-two million, four hundred thirty-two thousand, eight hundred".