131919525771264 has 1152 divisors, whose sum is σ = 505091772057600. Its totient is φ = 32112896901120.

The previous prime is 131919525771263. The next prime is 131919525771377. The reversal of 131919525771264 is 462177525919131.

It is a happy number.

131919525771264 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 1 + 9 + 52 + 577 + 1 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×131919525771264² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131919525771263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5766458194 + ... + 5766481070.

It is an arithmetic number, because the mean of its divisors is an integer number (438447718800).

Almost surely, 2^{131919525771264} is an apocalyptic number.

131919525771264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131919525771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252545886028800).

131919525771264 is an abundant number, since it is smaller than the sum of its proper divisors (373172246286336).

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

131919525771264 is a wasteful number, since it uses less digits than its factorization.

131919525771264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23179 (or 23156 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 63.

The spelling of 131919525771264 in words is "one hundred thirty-one trillion, nine hundred nineteen billion, five hundred twenty-five million, seven hundred seventy-one thousand, two hundred sixty-four".