137492 has 12 divisors (see below), whose sum is σ = 247380. Its totient is φ = 66816.

The previous prime is 137491. The next prime is 137507. The reversal of 137492 is 294731.

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 81796 = 236^2 + 286^2 .

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137491) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 317 + ... + 612.

It is an arithmetic number, because the mean of its divisors is an integer number (20615).

137492 is a Friedman number, since it can be written as (3^9-41)*7-2, using all its digits and the basic arithmetic operations.

2¹³⁷⁴⁹² is an apocalyptic number.

It is an amenable number.

137492 is a deficient number, since it is larger than the sum of its proper divisors (109888).

137492 is a wasteful number, since it uses less digits than its factorization.

137492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 968 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 137492 is about 370.7991370001. The cubic root of 137492 is about 51.6130047545.

The spelling of 137492 in words is "one hundred thirty-seven thousand, four hundred ninety-two".