137516331807 has 24 divisors (see below), whose sum is σ = 200554239600. Its totient is φ = 90792430848.

The previous prime is 137516331803. The next prime is 137516331859. The reversal of 137516331807 is 708133615731.

137516331807 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 1 + 633 + 1 + 8 + 0 + 7 = 666.

It is not a de Polignac number, because 137516331807 - 2² = 137516331803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137516331803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2055628 + ... + 2121470.

It is an arithmetic number, because the mean of its divisors is an integer number (8356426650).

Almost surely, 2^137516331807 is an apocalyptic number.

137516331807 is a deficient number, since it is larger than the sum of its proper divisors (63037907793).

137516331807 is a wasteful number, since it uses less digits than its factorization.

137516331807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68087 (or 68084 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 137516331807 in words is "one hundred thirty-seven billion, five hundred sixteen million, three hundred thirty-one thousand, eight hundred seven".