137958417 has 48 divisors (see below), whose sum is σ = 222626880. Its totient is φ = 84135168.

The previous prime is 137958413. The next prime is 137958419. The reversal of 137958417 is 714859731.

It is not a de Polignac number, because 137958417 - 2² = 137958413 is a prime.

It is a super-2 number, since 2×137958417² = 38065049642291778, which contains 22 as substring.

Its product of digits (211680) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (137958413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1289278 + ... + 1289384.

It is an arithmetic number, because the mean of its divisors is an integer number (4638060).

Almost surely, 2^137958417 is an apocalyptic number.

137958417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137958417 is a deficient number, since it is larger than the sum of its proper divisors (84668463).

137958417 is a wasteful number, since it uses less digits than its factorization.

137958417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 180 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 137958417 is about 11745.5701011062. The cubic root of 137958417 is about 516.7130151045.

The spelling of 137958417 in words is "one hundred thirty-seven million, nine hundred fifty-eight thousand, four hundred seventeen".