131507664167 has 64 divisors (see below), whose sum is σ = 161827642368. Its totient is φ = 105388800000.

The previous prime is 131507664161. The next prime is 131507664191. The reversal of 131507664167 is 761466705131.

It is not a de Polignac number, because 131507664167 - 2³⁰ = 130433922343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131507664161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65851613 + ... + 65853609.

It is an arithmetic number, because the mean of its divisors is an integer number (2528556912).

Almost surely, 2^131507664167 is an apocalyptic number.

131507664167 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

131507664167 is a deficient number, since it is larger than the sum of its proper divisors (30319978201).

131507664167 is a wasteful number, since it uses less digits than its factorization.

131507664167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360.

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 131507664167 in words is "one hundred thirty-one billion, five hundred seven million, six hundred sixty-four thousand, one hundred sixty-seven".