138759984 has 120 divisors (see below), whose sum is σ = 448645392. Its totient is φ = 39567360.

The previous prime is 138759977. The next prime is 138760003. The reversal of 138759984 is 489957831.

It is a self number, because there is not a number n which added to its sum of digits gives 138759984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24352 + ... + 29504.

Almost surely, 2^138759984 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 138759984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224322696).

138759984 is an abundant number, since it is smaller than the sum of its proper divisors (309885408).

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

138759984 is a wasteful number, since it uses less digits than its factorization.

138759984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195 (or 5186 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 138759984 is about 11779.6427789641. The cubic root of 138759984 is about 517.7118197497.

The spelling of 138759984 in words is "one hundred thirty-eight million, seven hundred fifty-nine thousand, nine hundred eighty-four".