138500 has 24 divisors (see below), whose sum is σ = 303576. Its totient is φ = 55200.

The previous prime is 138497. The next prime is 138511. The reversal of 138500 is 5831.

It can be written as a sum of positive squares in 4 ways, for example, as 20164 + 118336 = 142^2 + 344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (12649).

2¹³⁸⁵⁰⁰ is an apocalyptic number.

138500 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 138500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151788).

138500 is an abundant number, since it is smaller than the sum of its proper divisors (165076).

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

138500 is a wasteful number, since it uses less digits than its factorization.

138500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 138500 is about 372.1558813186. The cubic root of 138500 is about 51.7388285220.

The spelling of 138500 in words is "one hundred thirty-eight thousand, five hundred".