138132 has 24 divisors (see below), whose sum is σ = 358400. Its totient is φ = 46008.

The previous prime is 138113. The next prime is 138139. The reversal of 138132 is 231831.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138139) by changing a digit.

138132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532 + ... + 747.

2¹³⁸¹³² is an apocalyptic number.

138132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138132 is an abundant number, since it is smaller than the sum of its proper divisors (220268).

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

138132 is a wasteful number, since it uses less digits than its factorization.

138132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1284 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 138132 is about 371.6611359828. The cubic root of 138132 is about 51.6929638359.

Adding to 138132 its reverse (231831), we get a palindrome (369963).

The spelling of 138132 in words is "one hundred thirty-eight thousand, one hundred thirty-two".