137339313 has 8 divisors (see below), whose sum is σ = 183926688. Its totient is φ = 91155744.

The previous prime is 137339309. The next prime is 137339317. The reversal of 137339313 is 313933731.

It is an interprime number because it is at equal distance from previous prime (137339309) and next prime (137339317).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137339313 - 2² = 137339309 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (137339317) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 100156 + ... + 101517.

It is an arithmetic number, because the mean of its divisors is an integer number (22990836).

Almost surely, 2^137339313 is an apocalyptic number.

It is an amenable number.

137339313 is a deficient number, since it is larger than the sum of its proper divisors (46587375).

137339313 is a wasteful number, since it uses less digits than its factorization.

137339313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201903.

The product of its digits is 15309, while the sum is 33.

The square root of 137339313 is about 11719.1856799011. The cubic root of 137339313 is about 515.9389199680.

The spelling of 137339313 in words is "one hundred thirty-seven million, three hundred thirty-nine thousand, three hundred thirteen".