131232400 has 60 divisors (see below), whose sum is σ = 339552052. Its totient is φ = 48453120.

The previous prime is 131232389. The next prime is 131232427. The reversal of 131232400 is 4232131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4804864 + 126427536 = 2192^2 + 11244^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 7419 + ... + 17818.

Almost surely, 2^131232400 is an apocalyptic number.

131232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131232400 is an abundant number, since it is smaller than the sum of its proper divisors (208319652).

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

131232400 is a wasteful number, since it uses less digits than its factorization.

131232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25268 (or 25257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 131232400 is about 11455.6710846637. The cubic root of 131232400 is about 508.1754617401.

Adding to 131232400 its reverse (4232131), we get a palindrome (135464531).

The spelling of 131232400 in words is "one hundred thirty-one million, two hundred thirty-two thousand, four hundred".