131576501952 has 224 divisors, whose sum is σ = 442808563200. Its totient is φ = 37530418176.

The previous prime is 131576501941. The next prime is 131576501981. The reversal of 131576501952 is 259105675131.

131576501952 is a `hidden beast` number, since 1 + 3 + 1 + 57 + 6 + 501 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 131576501898 and 131576501907.

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, 7478638 + ... + 7496210.

Almost surely, 2^131576501952 is an apocalyptic number.

131576501952 is a gapful number since it is divisible by the number (12) 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 131576501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221404281600).

131576501952 is an abundant number, since it is smaller than the sum of its proper divisors (311232061248).

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

131576501952 is a wasteful number, since it uses less digits than its factorization.

131576501952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18220 (or 18204 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 131576501952 in words is "one hundred thirty-one billion, five hundred seventy-six million, five hundred one thousand, nine hundred fifty-two".