138504 has 32 divisors (see below), whose sum is σ = 360000. Its totient is φ = 44352.

The previous prime is 138497. The next prime is 138511. The reversal of 138504 is 405831.

It is an interprime number because it is at equal distance from previous prime (138497) and next prime (138511).

It is an unprimeable number.

138504 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, 597 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (11250).

2¹³⁸⁵⁰⁴ 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 138504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180000).

138504 is an abundant number, since it is smaller than the sum of its proper divisors (221496).

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

138504 is a wasteful number, since it uses less digits than its factorization.

138504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 138504 is about 372.1612553719. The cubic root of 138504 is about 51.7393266046.

The spelling of 138504 in words is "one hundred thirty-eight thousand, five hundred four".