132814400 has 42 divisors (see below), whose sum is σ = 326810370. Its totient is φ = 53125120.

The previous prime is 132814373. The next prime is 132814411. The reversal of 132814400 is 4418231.

It can be written as a sum of positive squares in 3 ways, for example, as 12166144 + 120648256 = 3488^2 + 10984^2 .

It is an unprimeable number.

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, 39905 + ... + 43104.

Almost surely, 2^132814400 is an apocalyptic number.

132814400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132814400 is an abundant number, since it is smaller than the sum of its proper divisors (193995970).

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

132814400 is an equidigital number, since it uses as much as digits as its factorization.

132814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83031 (or 83016 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 132814400 is about 11524.5130048953. The cubic root of 132814400 is about 510.2093207146.

The spelling of 132814400 in words is "one hundred thirty-two million, eight hundred fourteen thousand, four hundred".