131267584260 has 144 divisors (see below), whose sum is σ = 413134839936. Its totient is φ = 34986961152.

The previous prime is 131267584207. The next prime is 131267584297. The reversal of 131267584260 is 62485762131.

131267584260 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 6 + 7 + 584 + 2 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11624337 + ... + 11635623.

It is an arithmetic number, because the mean of its divisors is an integer number (2868991944).

Almost surely, 2^131267584260 is an apocalyptic number.

131267584260 is a gapful number since it is divisible by the number (10) 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 131267584260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206567419968).

131267584260 is an abundant number, since it is smaller than the sum of its proper divisors (281867255676).

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

131267584260 is a wasteful number, since it uses less digits than its factorization.

131267584260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13704 (or 13690 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 131267584260 in words is "one hundred thirty-one billion, two hundred sixty-seven million, five hundred eighty-four thousand, two hundred sixty".