131577405696 has 405 divisors, whose sum is σ = 433141179933. Its totient is φ = 39697827840.

The previous prime is 131577405679. The next prime is 131577405803. The reversal of 131577405696 is 696504775131.

The square root of 131577405696 is 362736.

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

131577405696 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 7 + 74 + 0 + 569 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122544804096 + 9032601600 = 350064^2 + 95040^2 .

It is a super-2 number, since 2×131577405696² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 574573710 + ... + 574573938.

Almost surely, 2^131577405696 is an apocalyptic number.

131577405696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131577405696 is the 362736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131577405696

131577405696 is an abundant number, since it is smaller than the sum of its proper divisors (301563774237).

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

131577405696 is an frugal number, since it uses more digits than its factorization.

131577405696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 131577405696 in words is "one hundred thirty-one billion, five hundred seventy-seven million, four hundred five thousand, six hundred ninety-six".