131745660634656 has 72 divisors (see below), whose sum is σ = 375146639460684. Its totient is φ = 43857207959040.

The previous prime is 131745660634561. The next prime is 131745660634697. The reversal of 131745660634656 is 656436066547131.

It is a happy number.

131745660634656 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 4 + 56 + 60 + 63 + 465 + 6 = 666.

131745660634656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 131673697207056 + 71963427600 = 11474916^2 + 268260^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 131745660634593 and 131745660634602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301928755 + ... + 302364786.

Almost surely, 2^{131745660634656} is an apocalyptic number.

131745660634656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131745660634656 is an abundant number, since it is smaller than the sum of its proper divisors (243400978826028).

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

131745660634656 is a wasteful number, since it uses less digits than its factorization.

131745660634656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604294314 (or 604294303 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 131745660634656 in words is "one hundred thirty-one trillion, seven hundred forty-five billion, six hundred sixty million, six hundred thirty-four thousand, six hundred fifty-six".