137836507 has 16 divisors (see below), whose sum is σ = 154173600. Its totient is φ = 122653440.

The previous prime is 137836499. The next prime is 137836513. The reversal of 137836507 is 705638731.

It is a cyclic number.

It is not a de Polignac number, because 137836507 - 2³ = 137836499 is a prime.

It is a super-2 number, since 2×137836507² = 37997805323922098, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137836507.

It is not an unprimeable number, because it can be changed into a prime (137836537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17007 + ... + 23767.

It is an arithmetic number, because the mean of its divisors is an integer number (9635850).

Almost surely, 2^137836507 is an apocalyptic number.

137836507 is a deficient number, since it is larger than the sum of its proper divisors (16337093).

137836507 is a wasteful number, since it uses less digits than its factorization.

137836507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846.

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 137836507 is about 11740.3793379942. The cubic root of 137836507 is about 516.5607686303.

The spelling of 137836507 in words is "one hundred thirty-seven million, eight hundred thirty-six thousand, five hundred seven".