131597719696 has 45 divisors (see below), whose sum is σ = 258120916921. Its totient is φ = 64995700352.

The previous prime is 131597719663. The next prime is 131597719709. The reversal of 131597719696 is 696917795131.

The square root of 131597719696 is 362764.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25269553296 + 106328166400 = 158964^2 + 326080^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 129143475 + ... + 129144493.

Almost surely, 2^131597719696 is an apocalyptic number.

131597719696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131597719696 is the 362764-th square number.

It is an amenable number.

131597719696 is a deficient number, since it is larger than the sum of its proper divisors (126523197225).

131597719696 is an frugal number, since it uses more digits than its factorization.

131597719696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 1110 counting only the distinct ones).

The product of its digits is 19289340, while the sum is 64.

Multiplying 131597719696 by its sum of digits (64), we get a square (8422254060544 = 2902112²).

The spelling of 131597719696 in words is "one hundred thirty-one billion, five hundred ninety-seven million, seven hundred nineteen thousand, six hundred ninety-six".