137668205 has 16 divisors (see below), whose sum is σ = 174345600. Its totient is φ = 104068800.

The previous prime is 137668187. The next prime is 137668247. The reversal of 137668205 is 502866731.

It is not a de Polignac number, because 137668205 - 2¹⁴ = 137651821 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40055 + ... + 43355.

It is an arithmetic number, because the mean of its divisors is an integer number (10896600).

Almost surely, 2^137668205 is an apocalyptic number.

It is an amenable number.

137668205 is a deficient number, since it is larger than the sum of its proper divisors (36677395).

137668205 is a wasteful number, since it uses less digits than its factorization.

137668205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764.

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 137668205 is about 11733.2094927177. The cubic root of 137668205 is about 516.3504382396.

The spelling of 137668205 in words is "one hundred thirty-seven million, six hundred sixty-eight thousand, two hundred five".