137937967 has 8 divisors (see below), whose sum is σ = 145727600. Its totient is φ = 130201344.

The previous prime is 137937913. The next prime is 137937971. The reversal of 137937967 is 769739731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137937967 - 2¹⁵ = 137905199 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137937907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7842 + ... + 18367.

It is an arithmetic number, because the mean of its divisors is an integer number (18215950).

Almost surely, 2^137937967 is an apocalyptic number.

137937967 is a deficient number, since it is larger than the sum of its proper divisors (7789633).

137937967 is a wasteful number, since it uses less digits than its factorization.

137937967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26505.

The product of its digits is 1500282, while the sum is 52.

The square root of 137937967 is about 11744.6995278721. The cubic root of 137937967 is about 516.6874825236.

The spelling of 137937967 in words is "one hundred thirty-seven million, nine hundred thirty-seven thousand, nine hundred sixty-seven".