137957872 has 40 divisors (see below), whose sum is σ = 297793440. Its totient is φ = 61474560.

The previous prime is 137957861. The next prime is 137957893. The reversal of 137957872 is 278759731.

It is a happy number.

It is a super-3 number, since 3×137957872³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5404 + ... + 17467.

It is an arithmetic number, because the mean of its divisors is an integer number (7444836).

Almost surely, 2^137957872 is an apocalyptic number.

It is an amenable number.

137957872 is an abundant number, since it is smaller than the sum of its proper divisors (159835568).

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

137957872 is a wasteful number, since it uses less digits than its factorization.

137957872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22921 (or 22915 counting only the distinct ones).

The product of its digits is 740880, while the sum is 49.

The square root of 137957872 is about 11745.5469008471. The cubic root of 137957872 is about 516.7123346845.

The spelling of 137957872 in words is "one hundred thirty-seven million, nine hundred fifty-seven thousand, eight hundred seventy-two".