138600 has 144 divisors (see below), whose sum is σ = 580320. Its totient is φ = 28800.

The previous prime is 138599. The next prime is 138617. The reversal of 138600 is 6831.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12595 + ... + 12605.

It is an arithmetic number, because the mean of its divisors is an integer number (4030).

2¹³⁸⁶⁰⁰ is an apocalyptic number.

138600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290160).

138600 is an abundant number, since it is smaller than the sum of its proper divisors (441720).

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

138600 is a wasteful number, since it uses less digits than its factorization.

138600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 28 counting only the distinct ones).

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

The square root of 138600 is about 372.2902093797. The cubic root of 138600 is about 51.7512777112.

Subtracting from 138600 its reverse (6831), we obtain a square (131769 = 363²).

The spelling of 138600 in words is "one hundred thirty-eight thousand, six hundred".