131504400 has 90 divisors (see below), whose sum is σ = 456369290. Its totient is φ = 35066880.

The previous prime is 131504389. The next prime is 131504411. The reversal of 131504400 is 4405131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131504389) and next prime (131504411).

It can be written as a sum of positive squares in 3 ways, for example, as 18974736 + 112529664 = 4356^2 + 10608^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 14665 + ... + 21864.

Almost surely, 2^131504400 is an apocalyptic number.

131504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131504400 is an abundant number, since it is smaller than the sum of its proper divisors (324864890).

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

131504400 is a wasteful number, since it uses less digits than its factorization.

131504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36553 (or 36539 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 131504400 is about 11467.5367886918. The cubic root of 131504400 is about 508.5263109169.

Adding to 131504400 its reverse (4405131), we get a palindrome (135909531).

The spelling of 131504400 in words is "one hundred thirty-one million, five hundred four thousand, four hundred".