137577957 has 32 divisors (see below), whose sum is σ = 213663744. Its totient is φ = 77817600.

The previous prime is 137577929. The next prime is 137577959. The reversal of 137577957 is 759775731.

It is not a de Polignac number, because 137577957 - 2⁷ = 137577829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137577959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70282 + ... + 72212.

It is an arithmetic number, because the mean of its divisors is an integer number (6676992).

Almost surely, 2^137577957 is an apocalyptic number.

137577957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137577957 is a deficient number, since it is larger than the sum of its proper divisors (76085787).

137577957 is a wasteful number, since it uses less digits than its factorization.

137577957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089.

The product of its digits is 1620675, while the sum is 51.

The square root of 137577957 is about 11729.3630261835. The cubic root of 137577957 is about 516.2375828886.

The spelling of 137577957 in words is "one hundred thirty-seven million, five hundred seventy-seven thousand, nine hundred fifty-seven".