131712118741152 has 144 divisors (see below), whose sum is σ = 405812065538880. Its totient is φ = 40360485021696.

The previous prime is 131712118741139. The next prime is 131712118741171. The reversal of 131712118741152 is 251147811217131.

131712118741152 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 1 + 2 + 1 + 187 + 411 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 131712118741098 and 131712118741107.

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 23 ways as a sum of consecutive naturals, for example, 312603252 + ... + 313024307.

It is an arithmetic number, because the mean of its divisors is an integer number (2818139344020).

Almost surely, 2^{131712118741152} is an apocalyptic number.

131712118741152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131712118741152 is an abundant number, since it is smaller than the sum of its proper divisors (274099946797728).

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

131712118741152 is a wasteful number, since it uses less digits than its factorization.

131712118741152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625627635 (or 625627624 counting only the distinct ones).

The product of its digits is 94080, while the sum is 45.

Adding to 131712118741152 its reverse (251147811217131), we get a palindrome (382859929958283).

The spelling of 131712118741152 in words is "one hundred thirty-one trillion, seven hundred twelve billion, one hundred eighteen million, seven hundred forty-one thousand, one hundred fifty-two".