137271132 has 24 divisors (see below), whose sum is σ = 355888400. Its totient is φ = 45757008.

The previous prime is 137271097. The next prime is 137271149. The reversal of 137271132 is 231172731.

137271132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137271132² = 37686727361122848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 137271096 and 137271105.

It is a congruent number.

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, 635407 + ... + 635622.

Almost surely, 2^137271132 is an apocalyptic number.

137271132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137271132 is an abundant number, since it is smaller than the sum of its proper divisors (218617268).

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

137271132 is a wasteful number, since it uses less digits than its factorization.

137271132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271042 (or 1271034 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 137271132 is about 11716.2763709295. The cubic root of 137271132 is about 515.8535279233.

The spelling of 137271132 in words is "one hundred thirty-seven million, two hundred seventy-one thousand, one hundred thirty-two".