137835607 has 16 divisors (see below), whose sum is σ = 171976000. Its totient is φ = 107557632.

The previous prime is 137835601. The next prime is 137835611. The reversal of 137835607 is 706538731.

137835607 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137835607 - 2²⁷ = 3617879 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137835607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137835601) 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, 3732 + ... + 17017.

It is an arithmetic number, because the mean of its divisors is an integer number (10748500).

Almost surely, 2^137835607 is an apocalyptic number.

137835607 is a deficient number, since it is larger than the sum of its proper divisors (34140393).

137835607 is a wasteful number, since it uses less digits than its factorization.

137835607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20842.

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

The square root of 137835607 is about 11740.3410086760. The cubic root of 137835607 is about 516.5596443377.

The spelling of 137835607 in words is "one hundred thirty-seven million, eight hundred thirty-five thousand, six hundred seven".