138735872 has 72 divisors (see below), whose sum is σ = 318128160. Its totient is φ = 59719680.

The previous prime is 138735859. The next prime is 138735887. The reversal of 138735872 is 278537831.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 52208 + ... + 54800.

Almost surely, 2^138735872 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 138735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159064080).

138735872 is an abundant number, since it is smaller than the sum of its proper divisors (179392288).

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

138735872 is a wasteful number, since it uses less digits than its factorization.

138735872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2625 counting only the distinct ones).

The product of its digits is 282240, while the sum is 44.

The square root of 138735872 is about 11778.6192739217. The cubic root of 138735872 is about 517.6818308193.

The spelling of 138735872 in words is "one hundred thirty-eight million, seven hundred thirty-five thousand, eight hundred seventy-two".