131460800 has 42 divisors (see below), whose sum is σ = 323479668. Its totient is φ = 52583680.

The previous prime is 131460731. The next prime is 131460803. The reversal of 131460800 is 8064131.

It is not an unprimeable number, because it can be changed into a prime (131460803) 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, 39482 + ... + 42681.

Almost surely, 2^131460800 is an apocalyptic number.

131460800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131460800 is an abundant number, since it is smaller than the sum of its proper divisors (192018868).

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

131460800 is an equidigital number, since it uses as much as digits as its factorization.

131460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82185 (or 82170 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 131460800 is about 11465.6356125598. The cubic root of 131460800 is about 508.4701044378.

The spelling of 131460800 in words is "one hundred thirty-one million, four hundred sixty thousand, eight hundred".