131970400 has 36 divisors (see below), whose sum is σ = 322174692. Its totient is φ = 52787840.

The previous prime is 131970373. The next prime is 131970401. The reversal of 131970400 is 4079131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131970401) 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, 81682 + ... + 83281.

It is an arithmetic number, because the mean of its divisors is an integer number (8949297).

Almost surely, 2^131970400 is an apocalyptic number.

131970400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131970400 is an abundant number, since it is smaller than the sum of its proper divisors (190204292).

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

131970400 is a wasteful number, since it uses less digits than its factorization.

131970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164983 (or 164970 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 131970400 is about 11487.8370461980. The cubic root of 131970400 is about 509.1262753724.

The spelling of 131970400 in words is "one hundred thirty-one million, nine hundred seventy thousand, four hundred".