138684504 has 128 divisors (see below), whose sum is σ = 428544000. Its totient is φ = 37255680.

The previous prime is 138684431. The next prime is 138684551. The reversal of 138684504 is 405486831.

138684504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139449 + ... + 140439.

It is an arithmetic number, because the mean of its divisors is an integer number (3348000).

Almost surely, 2^138684504 is an apocalyptic number.

138684504 is a gapful number since it is divisible by the number (14) 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 138684504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272000).

138684504 is an abundant number, since it is smaller than the sum of its proper divisors (289859496).

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

138684504 is a wasteful number, since it uses less digits than its factorization.

138684504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 138684504 is about 11776.4385108572. The cubic root of 138684504 is about 517.6179310684.

The spelling of 138684504 in words is "one hundred thirty-eight million, six hundred eighty-four thousand, five hundred four".