131158586160 has 180 divisors, whose sum is σ = 512388553248. Its totient is φ = 29979097344.

The previous prime is 131158586149. The next prime is 131158586249. The reversal of 131158586160 is 61685851131.

It is a happy number.

131158586160 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 5 + 8 + 586 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1823544 + ... + 1894103.

Almost surely, 2^131158586160 is an apocalyptic number.

131158586160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131158586160 is an abundant number, since it is smaller than the sum of its proper divisors (381229967088).

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

131158586160 is a wasteful number, since it uses less digits than its factorization.

131158586160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717680 (or 3717664 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 131158586160 in words is "one hundred thirty-one billion, one hundred fifty-eight million, five hundred eighty-six thousand, one hundred sixty".