138873504 has 96 divisors (see below), whose sum is σ = 454519296. Its totient is φ = 36069120.

The previous prime is 138873499. The next prime is 138873529. The reversal of 138873504 is 405378831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×138873504² = 38571700226476032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2002 + ... + 16785.

It is an arithmetic number, because the mean of its divisors is an integer number (4734576).

Almost surely, 2^138873504 is an apocalyptic number.

138873504 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 138873504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227259648).

138873504 is an abundant number, since it is smaller than the sum of its proper divisors (315645792).

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

138873504 is a wasteful number, since it uses less digits than its factorization.

138873504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18818 (or 18810 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 138873504 is about 11784.4602761433. The cubic root of 138873504 is about 517.8529618488.

It can be divided in two parts, 13887 and 3504, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 138873504 in words is "one hundred thirty-eight million, eight hundred seventy-three thousand, five hundred four".