137397417 has 16 divisors (see below), whose sum is σ = 204183360. Its totient is φ = 81672192.

The previous prime is 137397409. The next prime is 137397419. The reversal of 137397417 is 714793731.

It is not a de Polignac number, because 137397417 - 2³ = 137397409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137397419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69928 + ... + 71865.

It is an arithmetic number, because the mean of its divisors is an integer number (12761460).

Almost surely, 2^137397417 is an apocalyptic number.

137397417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137397417 is a deficient number, since it is larger than the sum of its proper divisors (66785943).

137397417 is a wasteful number, since it uses less digits than its factorization.

137397417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141832.

The product of its digits is 111132, while the sum is 42.

The square root of 137397417 is about 11721.6644295936. The cubic root of 137397417 is about 516.0116689567.

It can be divided in two parts, 1373 and 97417, that added together give a triangular number (98790 = T₄₄₄).

The spelling of 137397417 in words is "one hundred thirty-seven million, three hundred ninety-seven thousand, four hundred seventeen".