137835201 has 16 divisors (see below), whose sum is σ = 222390144. Its totient is φ = 74129664.

The previous prime is 137835163. The next prime is 137835221. The reversal of 137835201 is 102538731.

It is not a de Polignac number, because 137835201 - 2⁷ = 137835073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137835221) 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, 192690 + ... + 193403.

It is an arithmetic number, because the mean of its divisors is an integer number (13899384).

Almost surely, 2^137835201 is an apocalyptic number.

It is an amenable number.

137835201 is a deficient number, since it is larger than the sum of its proper divisors (84554943).

137835201 is a wasteful number, since it uses less digits than its factorization.

137835201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386120.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 137835201 is about 11740.3237178538. The cubic root of 137835201 is about 516.5591371552.

The spelling of 137835201 in words is "one hundred thirty-seven million, eight hundred thirty-five thousand, two hundred one".