137732 has 12 divisors (see below), whose sum is σ = 275520. Its totient is φ = 59016.

The previous prime is 137723. The next prime is 137737. The reversal of 137732 is 237731.

137732 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 137698 and 137707.

It is not an unprimeable number, because it can be changed into a prime (137737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2432 + ... + 2487.

It is an arithmetic number, because the mean of its divisors is an integer number (22960).

137732 is a Friedman number, since it can be written as 7*(3^(3*(2+1))-7), using all its digits and the basic arithmetic operations.

2¹³⁷⁷³² is an apocalyptic number.

It is an amenable number.

137732 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.

137732 is a wasteful number, since it uses less digits than its factorization.

137732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4928 counting only the distinct ones).

The product of its digits is 882, while the sum is 23.

The square root of 137732 is about 371.1226212453. The cubic root of 137732 is about 51.6430184296.

Subtracting 137732 from its reverse (237731), we obtain a palindrome (99999).

The spelling of 137732 in words is "one hundred thirty-seven thousand, seven hundred thirty-two".