138837504 has 160 divisors (see below), whose sum is σ = 422785440. Its totient is φ = 40108032.

The previous prime is 138837481. The next prime is 138837527. The reversal of 138837504 is 405738831.

It is an interprime number because it is at equal distance from previous prime (138837481) and next prime (138837527).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 339252 + ... + 339660.

It is an arithmetic number, because the mean of its divisors is an integer number (2642409).

Almost surely, 2^138837504 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 138837504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211392720).

138837504 is an abundant number, since it is smaller than the sum of its proper divisors (283947936).

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

138837504 is a wasteful number, since it uses less digits than its factorization.

138837504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 444 counting only the distinct ones).

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

The square root of 138837504 is about 11782.9327418941. The cubic root of 138837504 is about 517.8082105290.

The spelling of 138837504 in words is "one hundred thirty-eight million, eight hundred thirty-seven thousand, five hundred four".