138894912 has 196 divisors, whose sum is σ = 446971420. Its totient is φ = 42550272.

The previous prime is 138894901. The next prime is 138894919. The reversal of 138894912 is 219498831.

It can be written as a sum of positive squares in 2 ways, for example, as 78428736 + 60466176 = 8856^2 + 7776^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (138894919) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 606414 + ... + 606642.

Almost surely, 2^138894912 is an apocalyptic number.

138894912 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 138894912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223485710).

138894912 is an abundant number, since it is smaller than the sum of its proper divisors (308076508).

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

138894912 is an equidigital number, since it uses as much as digits as its factorization.

138894912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 247 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 138894912 is about 11785.3685559680. The cubic root of 138894912 is about 517.8795703001.

The spelling of 138894912 in words is "one hundred thirty-eight million, eight hundred ninety-four thousand, nine hundred twelve".