137392 has 20 divisors (see below), whose sum is σ = 275776. Its totient is φ = 66240.

The previous prime is 137387. The next prime is 137393. The reversal of 137392 is 293731.

137392 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (137393) 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, 358 + ... + 634.

2¹³⁷³⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137888).

137392 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137392 is a wasteful number, since it uses less digits than its factorization.

137392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its digits is 1134, while the sum is 25.

The square root of 137392 is about 370.6642685774. The cubic root of 137392 is about 51.6004887480.

It can be divided in two parts, 137 and 392, that added together give a square (529 = 23²).

The spelling of 137392 in words is "one hundred thirty-seven thousand, three hundred ninety-two".