138379456 has 56 divisors (see below), whose sum is σ = 292699440. Its totient is φ = 64684032.

The previous prime is 138379441. The next prime is 138379463. The reversal of 138379456 is 654973831.

138379456 is nontrivially palindromic in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209655 + ... + 210313.

Almost surely, 2^138379456 is an apocalyptic number.

138379456 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 138379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146349720).

138379456 is an abundant number, since it is smaller than the sum of its proper divisors (154319984).

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

138379456 is a wasteful number, since it uses less digits than its factorization.

138379456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 871 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 138379456 is about 11763.4797572827. The cubic root of 138379456 is about 517.2381380325.

The spelling of 138379456 in words is "one hundred thirty-eight million, three hundred seventy-nine thousand, four hundred fifty-six".