137331 has 6 divisors (see below), whose sum is σ = 198380. Its totient is φ = 91548.

The previous prime is 137321. The next prime is 137339. The reversal of 137331 is 133731.

It is not a de Polignac number, because 137331 - 2¹¹ = 135283 is a prime.

It is a super-2 number, since 2×137331² = 37719607122, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (137339) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7621 + ... + 7638.

2¹³⁷³³¹ is an apocalyptic number.

137331 is a deficient number, since it is larger than the sum of its proper divisors (61049).

137331 is a wasteful number, since it uses less digits than its factorization.

137331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15265 (or 15262 counting only the distinct ones).

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

The square root of 137331 is about 370.5819747370. The cubic root of 137331 is about 51.5928510016.

Subtracting from 137331 its reverse (133731), we obtain a square (3600 = 60²).

The spelling of 137331 in words is "one hundred thirty-seven thousand, three hundred thirty-one".