137692 has 12 divisors (see below), whose sum is σ = 249480. Its totient is φ = 66416.

The previous prime is 137659. The next prime is 137699. The reversal of 137692 is 296731.

137692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 1 + 3 + 6 + 7² + 9⁴ + 2¹⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 137692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137699) 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, 478 + ... + 709.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2¹³⁷⁶⁹² is an apocalyptic number.

It is an amenable number.

137692 is a deficient number, since it is larger than the sum of its proper divisors (111788).

137692 is a wasteful number, since it uses less digits than its factorization.

137692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1218 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The square root of 137692 is about 371.0687267879. The cubic root of 137692 is about 51.6380185730.

Subtracting from 137692 its product of digits (2268), we obtain a square (135424 = 368²).

The spelling of 137692 in words is "one hundred thirty-seven thousand, six hundred ninety-two".