137153313 has 12 divisors (see below), whose sum is σ = 216120528. Its totient is φ = 83123160.

The previous prime is 137153311. The next prime is 137153321. The reversal of 137153313 is 313351731.

It is not a de Polignac number, because 137153313 - 2¹ = 137153311 is a prime.

It is a super-2 number, since 2×137153313² = 37622062533751938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137153311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 692595 + ... + 692792.

It is an arithmetic number, because the mean of its divisors is an integer number (18010044).

Almost surely, 2^137153313 is an apocalyptic number.

It is an amenable number.

137153313 is a deficient number, since it is larger than the sum of its proper divisors (78967215).

137153313 is a wasteful number, since it uses less digits than its factorization.

137153313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385404 (or 1385401 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 137153313 is about 11711.2472862629. The cubic root of 137153313 is about 515.7059010030.

The spelling of 137153313 in words is "one hundred thirty-seven million, one hundred fifty-three thousand, three hundred thirteen".