131564347524 has 81 divisors (see below), whose sum is σ = 345493173207. Its totient is φ = 43835195736.

The previous prime is 131564347513. The next prime is 131564347547. The reversal of 131564347524 is 425743465131.

The square root of 131564347524 is 362718.

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

131564347524 is a `hidden beast` number, since 1 + 3 + 1 + 564 + 34 + 7 + 52 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a self number, because there is not a number n which added to its sum of digits gives 131564347524.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58759197 + ... + 58761435.

Almost surely, 2^131564347524 is an apocalyptic number.

131564347524 is the 362718-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131564347524

131564347524 is an abundant number, since it is smaller than the sum of its proper divisors (213928825683).

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

131564347524 is an frugal number, since it uses more digits than its factorization.

131564347524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 2244 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 131564347524 in words is "one hundred thirty-one billion, five hundred sixty-four million, three hundred forty-seven thousand, five hundred twenty-four".