137906313 has 16 divisors (see below), whose sum is σ = 194753280. Its totient is φ = 86558544.

The previous prime is 137906311. The next prime is 137906317. The reversal of 137906313 is 313609731.

It is not a de Polignac number, because 137906313 - 2¹ = 137906311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137906311) 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, 1870 + ... + 16712.

It is an arithmetic number, because the mean of its divisors is an integer number (12172080).

Almost surely, 2^137906313 is an apocalyptic number.

It is an amenable number.

137906313 is a deficient number, since it is larger than the sum of its proper divisors (56846967).

137906313 is a wasteful number, since it uses less digits than its factorization.

137906313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15028.

The product of its (nonzero) digits is 10206, while the sum is 33.

The square root of 137906313 is about 11743.3518639271. The cubic root of 137906313 is about 516.6479563579.

The spelling of 137906313 in words is "one hundred thirty-seven million, nine hundred six thousand, three hundred thirteen".