131386272 has 48 divisors (see below), whose sum is σ = 345516192. Its totient is φ = 43715840.

The previous prime is 131386267. The next prime is 131386279. The reversal of 131386272 is 272683131.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (131386279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77983 + ... + 79649.

It is an arithmetic number, because the mean of its divisors is an integer number (7198254).

Almost surely, 2^131386272 is an apocalyptic number.

131386272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131386272 is an abundant number, since it is smaller than the sum of its proper divisors (214129920).

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

131386272 is a wasteful number, since it uses less digits than its factorization.

131386272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2493 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 131386272 is about 11462.3850921176. The cubic root of 131386272 is about 508.3739986698.

The spelling of 131386272 in words is "one hundred thirty-one million, three hundred eighty-six thousand, two hundred seventy-two".