137516391 has 6 divisors (see below), whose sum is σ = 198634800. Its totient is φ = 91677588.

The previous prime is 137516389. The next prime is 137516399. The reversal of 137516391 is 193615731.

137516391 is a `hidden beast` number, since 13 + 7 + 5 + 1 + 639 + 1 = 666.

It is not a de Polignac number, because 137516391 - 2¹ = 137516389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137516399) 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 5 ways as a sum of consecutive naturals, for example, 7639791 + ... + 7639808.

It is an arithmetic number, because the mean of its divisors is an integer number (33105800).

Almost surely, 2^137516391 is an apocalyptic number.

137516391 is a deficient number, since it is larger than the sum of its proper divisors (61118409).

137516391 is a wasteful number, since it uses less digits than its factorization.

137516391 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15279605 (or 15279602 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 137516391 is about 11726.7382933192. The cubic root of 137516391 is about 516.1605661295.

It can be divided in two parts, 1375 and 16391, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 137516391 in words is "one hundred thirty-seven million, five hundred sixteen thousand, three hundred ninety-one".