131000772 has 48 divisors (see below), whose sum is σ = 361388160. Its totient is φ = 36137472.

The previous prime is 131000767. The next prime is 131000773. The reversal of 131000772 is 277000131.

It is a super-2 number, since 2×131000772² = 34322404529191968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (131000773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24453 + ... + 29324.

It is an arithmetic number, because the mean of its divisors is an integer number (7528920).

Almost surely, 2^131000772 is an apocalyptic number.

131000772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131000772 is an abundant number, since it is smaller than the sum of its proper divisors (230387388).

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

131000772 is a wasteful number, since it uses less digits than its factorization.

131000772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53820 (or 53818 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 131000772 is about 11445.5568671865. The cubic root of 131000772 is about 507.8763054697.

The spelling of 131000772 in words is "one hundred thirty-one million, seven hundred seventy-two", and thus it is an aban number.