131290400 has 36 divisors (see below), whose sum is σ = 320514642. Its totient is φ = 52515840.

The previous prime is 131290387. The next prime is 131290429. The reversal of 131290400 is 4092131.

It can be written as a sum of positive squares in 3 ways, for example, as 103958416 + 27331984 = 10196^2 + 5228^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 81257 + ... + 82856.

Almost surely, 2^131290400 is an apocalyptic number.

131290400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131290400 is an abundant number, since it is smaller than the sum of its proper divisors (189224242).

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

131290400 is a wasteful number, since it uses less digits than its factorization.

131290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164133 (or 164120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 131290400 is about 11458.2023022811. The cubic root of 131290400 is about 508.2503158048.

The spelling of 131290400 in words is "one hundred thirty-one million, two hundred ninety thousand, four hundred".