138916032 has 112 divisors (see below), whose sum is σ = 387400800. Its totient is φ = 43868160.

The previous prime is 138916013. The next prime is 138916033. The reversal of 138916032 is 230619831.

It is a junction number, because it is equal to n+sod(n) for n = 138915984 and 138916002.

It is not an unprimeable number, because it can be changed into a prime (138916033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339444 + ... + 339852.

Almost surely, 2^138916032 is an apocalyptic number.

138916032 is a gapful number since it is divisible by the number (12) 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 138916032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193700400).

138916032 is an abundant number, since it is smaller than the sum of its proper divisors (248484768).

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

138916032 is a wasteful number, since it uses less digits than its factorization.

138916032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 138916032 is about 11786.2645481934. The cubic root of 138916032 is about 517.9058181111.

The spelling of 138916032 in words is "one hundred thirty-eight million, nine hundred sixteen thousand, thirty-two".