138902112 has 72 divisors (see below), whose sum is σ = 408648240. Its totient is φ = 44701440.

The previous prime is 138902111. The next prime is 138902119. The reversal of 138902112 is 211209831.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138902111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37 + ... + 16667.

It is an arithmetic number, because the mean of its divisors is an integer number (5675670).

Almost surely, 2^138902112 is an apocalyptic number.

138902112 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 138902112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204324120).

138902112 is an abundant number, since it is smaller than the sum of its proper divisors (269746128).

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

138902112 is a wasteful number, since it uses less digits than its factorization.

138902112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16676 (or 16665 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 138902112 is about 11785.6740155156. The cubic root of 138902112 is about 517.8885187164. Note that the first 3 decimals are identical.

The spelling of 138902112 in words is "one hundred thirty-eight million, nine hundred two thousand, one hundred twelve".