131544320 has 36 divisors (see below), whose sum is σ = 315092820. Its totient is φ = 52617216.

The previous prime is 131544311. The next prime is 131544323. The reversal of 131544320 is 23445131.

It can be written as a sum of positive squares in 2 ways, for example, as 60715264 + 70829056 = 7792^2 + 8416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131544323) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 50105 + ... + 52664.

Almost surely, 2^131544320 is an apocalyptic number.

131544320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131544320 is an abundant number, since it is smaller than the sum of its proper divisors (183548500).

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

131544320 is an equidigital number, since it uses as much as digits as its factorization.

131544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102790 (or 102776 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 131544320 is about 11469.2772222141. The cubic root of 131544320 is about 508.5777624691.

Adding to 131544320 its reverse (23445131), we get a palindrome (154989451).

The spelling of 131544320 in words is "one hundred thirty-one million, five hundred forty-four thousand, three hundred twenty".