138732 has 24 divisors (see below), whose sum is σ = 353472. Its totient is φ = 42000.

The previous prime is 138731. The next prime is 138739. The reversal of 138732 is 237831.

It is a d-powerful number, because it can be written as 1 + 3⁵ + 7³ + 8³ + 3⁸ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (138731) 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, 394 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (14728).

2¹³⁸⁷³² is an apocalyptic number.

138732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138732 is an abundant number, since it is smaller than the sum of its proper divisors (214740).

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

138732 is a wasteful number, since it uses less digits than its factorization.

138732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1067 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 138732 is about 372.4674482421. The cubic root of 138732 is about 51.7677014755.

Subtracting 138732 from its reverse (237831), we obtain a palindrome (99099).

The spelling of 138732 in words is "one hundred thirty-eight thousand, seven hundred thirty-two".