138903312 has 80 divisors (see below), whose sum is σ = 372849152. Its totient is φ = 44513280.

The previous prime is 138903307. The next prime is 138903337. The reversal of 138903312 is 213309831.

It is a self number, because there is not a number n which added to its sum of digits gives 138903312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412008 + ... + 412344.

Almost surely, 2^138903312 is an apocalyptic number.

138903312 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 138903312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186424576).

138903312 is an abundant number, since it is smaller than the sum of its proper divisors (233945840).

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

138903312 is a wasteful number, since it uses less digits than its factorization.

138903312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 138903312 is about 11785.7249246705. The cubic root of 138903312 is about 517.8900100890.

The spelling of 138903312 in words is "one hundred thirty-eight million, nine hundred three thousand, three hundred twelve".