137313 has 24 divisors (see below), whose sum is σ = 230880. Its totient is φ = 77760.

The previous prime is 137303. The next prime is 137321. The reversal of 137313 is 313731.

137313 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 137313 - 2¹³ = 129121 is a prime.

137313 is an undulating number in base 8.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1845 + ... + 1917.

It is an arithmetic number, because the mean of its divisors is an integer number (9620).

2¹³⁷³¹³ is an apocalyptic number.

It is an amenable number.

137313 is a deficient number, since it is larger than the sum of its proper divisors (93567).

137313 is a wasteful number, since it uses less digits than its factorization.

137313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 106 counting only the distinct ones).

The product of its digits is 189, while the sum is 18.

The square root of 137313 is about 370.5576878166. The cubic root of 137313 is about 51.5905968083.

The spelling of 137313 in words is "one hundred thirty-seven thousand, three hundred thirteen".