138303984 has 80 divisors (see below), whose sum is σ = 439749632. Its totient is φ = 36474624.

The previous prime is 138303967. The next prime is 138304003. The reversal of 138303984 is 489303831.

138303984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11464 + ... + 20199.

Almost surely, 2^138303984 is an apocalyptic number.

138303984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138303984 is an abundant number, since it is smaller than the sum of its proper divisors (301445648).

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

138303984 is a wasteful number, since it uses less digits than its factorization.

138303984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31694 (or 31688 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 138303984 is about 11760.2714254391. The cubic root of 138303984 is about 517.1440872320.

The spelling of 138303984 in words is "one hundred thirty-eight million, three hundred three thousand, nine hundred eighty-four".