138592 has 24 divisors (see below), whose sum is σ = 281232. Its totient is φ = 67200.

The previous prime is 138587. The next prime is 138599. The reversal of 138592 is 295831.

It is a self number, because there is not a number n which added to its sum of digits gives 138592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138599) by changing a digit.

138592 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, 1917 + ... + 1987.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2¹³⁸⁵⁹² 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 138592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616).

138592 is an abundant number, since it is smaller than the sum of its proper divisors (142640).

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

138592 is an equidigital number, since it uses as much as digits as its factorization.

138592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 138592 is about 372.2794649185. The cubic root of 138592 is about 51.7502819965.

It can be divided in two parts, 13859 and 2, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 138592 in words is "one hundred thirty-eight thousand, five hundred ninety-two".