138379776 has 80 divisors (see below), whose sum is σ = 384778944. Its totient is φ = 44109824.

The previous prime is 138379771. The next prime is 138379777. The reversal of 138379776 is 677973831.

It is not an unprimeable number, because it can be changed into a prime (138379771) 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, 33370 + ... + 37286.

Almost surely, 2^138379776 is an apocalyptic number.

138379776 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 138379776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192389472).

138379776 is an abundant number, since it is smaller than the sum of its proper divisors (246399168).

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

138379776 is an equidigital number, since it uses as much as digits as its factorization.

138379776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3945 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 51.

The square root of 138379776 is about 11763.4933586924. The cubic root of 138379776 is about 517.2385367335.

The spelling of 138379776 in words is "one hundred thirty-eight million, three hundred seventy-nine thousand, seven hundred seventy-six".