131257578060 has 192 divisors, whose sum is σ = 486984960000. Its totient is φ = 28697289984.

The previous prime is 131257578047. The next prime is 131257578091. The reversal of 131257578060 is 60875752131.

It is a happy number.

131257578060 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 575 + 78 + 0 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131257577997 and 131257578015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 667935 + ... + 841814.

It is an arithmetic number, because the mean of its divisors is an integer number (2536380000).

Almost surely, 2^131257578060 is an apocalyptic number.

131257578060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131257578060 is an abundant number, since it is smaller than the sum of its proper divisors (355727381940).

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

131257578060 is a wasteful number, since it uses less digits than its factorization.

131257578060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509797 (or 1509789 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 131257578060 in words is "one hundred thirty-one billion, two hundred fifty-seven million, five hundred seventy-eight thousand, sixty".