131077672 has 32 divisors (see below), whose sum is σ = 276768000. Its totient is φ = 57657600.

The previous prime is 131077657. The next prime is 131077673. The reversal of 131077672 is 276770131.

131077672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131077673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21297 + ... + 26752.

It is an arithmetic number, because the mean of its divisors is an integer number (8649000).

Almost surely, 2^131077672 is an apocalyptic number.

It is an amenable number.

131077672 is an abundant number, since it is smaller than the sum of its proper divisors (145690328).

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

131077672 is a wasteful number, since it uses less digits than its factorization.

131077672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48097 (or 48093 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 34.

The square root of 131077672 is about 11448.9157565247. The cubic root of 131077672 is about 507.9756637855.

The spelling of 131077672 in words is "one hundred thirty-one million, seventy-seven thousand, six hundred seventy-two".