137349 has 8 divisors (see below), whose sum is σ = 203520. Its totient is φ = 91548.

The previous prime is 137341. The next prime is 137353. The reversal of 137349 is 943731.

It is not a de Polignac number, because 137349 - 2³ = 137341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 5087 = 137349 / (1 + 3 + 7 + 3 + 4 + 9).

It is a d-powerful number, because it can be written as 1 + 3 + 3⁹ + 7⁶ + 4 + 9 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2517 + ... + 2570.

It is an arithmetic number, because the mean of its divisors is an integer number (25440).

2¹³⁷³⁴⁹ is an apocalyptic number.

It is an amenable number.

137349 is a deficient number, since it is larger than the sum of its proper divisors (66171).

137349 is an equidigital number, since it uses as much as digits as its factorization.

137349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096 (or 5090 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 137349 is about 370.6062600659. The cubic root of 137349 is about 51.5951049981.

The spelling of 137349 in words is "one hundred thirty-seven thousand, three hundred forty-nine".