138792 has 16 divisors (see below), whose sum is σ = 347040. Its totient is φ = 46256.

The previous prime is 138763. The next prime is 138793. The reversal of 138792 is 297831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138793) by changing a digit.

138792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2868 + ... + 2915.

It is an arithmetic number, because the mean of its divisors is an integer number (21690).

2¹³⁸⁷⁹² is an apocalyptic number.

138792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138792 is an abundant number, since it is smaller than the sum of its proper divisors (208248).

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

138792 is a wasteful number, since it uses less digits than its factorization.

138792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5788 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 138792 is about 372.5479834867. The cubic root of 138792 is about 51.7751633791.

The spelling of 138792 in words is "one hundred thirty-eight thousand, seven hundred ninety-two".