138944416 has 48 divisors (see below), whose sum is σ = 310111200. Its totient is φ = 60749568.

The previous prime is 138944411. The next prime is 138944447. The reversal of 138944416 is 614449831.

It is not an unprimeable number, because it can be changed into a prime (138944411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 886 + ... + 16693.

It is an arithmetic number, because the mean of its divisors is an integer number (6460650).

Almost surely, 2^138944416 is an apocalyptic number.

138944416 is a gapful number since it is divisible by the number (16) 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 138944416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155055600).

138944416 is an abundant number, since it is smaller than the sum of its proper divisors (171166784).

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

138944416 is a wasteful number, since it uses less digits than its factorization.

138944416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17621 (or 17613 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 138944416 is about 11787.4686001703. The cubic root of 138944416 is about 517.9410893883.

The spelling of 138944416 in words is "one hundred thirty-eight million, nine hundred forty-four thousand, four hundred sixteen".