131109869146752 has 96 divisors (see below), whose sum is σ = 378369575794080. Its totient is φ = 43577343502848.

The previous prime is 131109869146741. The next prime is 131109869146757. The reversal of 131109869146752 is 257641968901131.

131109869146752 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 9 + 86 + 91 + 467 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 131109869146752.

It is not an unprimeable number, because it can be changed into a prime (131109869146757) by changing a digit.

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, 163592548 + ... + 164392035.

It is an arithmetic number, because the mean of its divisors is an integer number (3941349747855).

It is a 2-persistent number, because it is pandigital, and so is 2⋅131109869146752 = 262219738293504, but 3⋅131109869146752 = 393329607440256 is not.

Almost surely, 2^{131109869146752} is an apocalyptic number.

131109869146752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131109869146752 is an abundant number, since it is smaller than the sum of its proper divisors (247259706647328).

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

131109869146752 is a wasteful number, since it uses less digits than its factorization.

131109869146752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327984950 (or 327984935 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 131109869146752 in words is "one hundred thirty-one trillion, one hundred nine billion, eight hundred sixty-nine million, one hundred forty-six thousand, seven hundred fifty-two".