131456800 has 36 divisors (see below), whose sum is σ = 320920866. Its totient is φ = 52582400.

The previous prime is 131456777. The next prime is 131456807. The reversal of 131456800 is 8654131.

It can be written as a sum of positive squares in 3 ways, for example, as 58798224 + 72658576 = 7668^2 + 8524^2 .

It is not an unprimeable number, because it can be changed into a prime (131456807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81361 + ... + 82960.

Almost surely, 2^131456800 is an apocalyptic number.

131456800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131456800 is an abundant number, since it is smaller than the sum of its proper divisors (189464066).

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

131456800 is a wasteful number, since it uses less digits than its factorization.

131456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164341 (or 164328 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 131456800 is about 11465.4611769436. The cubic root of 131456800 is about 508.4649472577.

The spelling of 131456800 in words is "one hundred thirty-one million, four hundred fifty-six thousand, eight hundred".