131811372 has 108 divisors (see below), whose sum is σ = 422885736. Its totient is φ = 34231680.

The previous prime is 131811331. The next prime is 131811377. The reversal of 131811372 is 273118131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131811377) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16008 + ... + 22800.

Almost surely, 2^131811372 is an apocalyptic number.

131811372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131811372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211442868).

131811372 is an abundant number, since it is smaller than the sum of its proper divisors (291074364).

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

131811372 is a wasteful number, since it uses less digits than its factorization.

131811372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6828 (or 6816 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 131811372 is about 11480.9133782988. The cubic root of 131811372 is about 508.9216894023.

The spelling of 131811372 in words is "one hundred thirty-one million, eight hundred eleven thousand, three hundred seventy-two".