131752752266016 has 192 divisors, whose sum is σ = 440845716326400. Its totient is φ = 37500511327488.

The previous prime is 131752752265997. The next prime is 131752752266033. The reversal of 131752752266016 is 610662257257131.

It is a happy number.

131752752266016 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 5 + 2 + 7 + 5 + 2 + 26 + 601 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39824806 + ... + 43006053.

It is an arithmetic number, because the mean of its divisors is an integer number (2296071439200).

Almost surely, 2^{131752752266016} is an apocalyptic number.

131752752266016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131752752266016 is an abundant number, since it is smaller than the sum of its proper divisors (309092964060384).

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

131752752266016 is a wasteful number, since it uses less digits than its factorization.

131752752266016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82831148 (or 82831134 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 131752752266016 in words is "one hundred thirty-one trillion, seven hundred fifty-two billion, seven hundred fifty-two million, two hundred sixty-six thousand, sixteen".