131981872 has 40 divisors (see below), whose sum is σ = 284245200. Its totient is φ = 58855680.

The previous prime is 131981867. The next prime is 131981917. The reversal of 131981872 is 278189131.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2254 + ... + 16402.

It is an arithmetic number, because the mean of its divisors is an integer number (7106130).

Almost surely, 2^131981872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131981872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142122600).

131981872 is an abundant number, since it is smaller than the sum of its proper divisors (152263328).

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

131981872 is a wasteful number, since it uses less digits than its factorization.

131981872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14221 (or 14215 counting only the distinct ones).

The product of its digits is 24192, while the sum is 40.

The square root of 131981872 is about 11488.3363460512. The cubic root of 131981872 is about 509.1410274870.

The spelling of 131981872 in words is "one hundred thirty-one million, nine hundred eighty-one thousand, eight hundred seventy-two".