138029376 has 112 divisors (see below), whose sum is σ = 388477760. Its totient is φ = 43130880.

The previous prime is 138029369. The next prime is 138029383. The reversal of 138029376 is 673920831.

It is an interprime number because it is at equal distance from previous prime (138029369) and next prime (138029383).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572616 + ... + 572856.

Almost surely, 2^138029376 is an apocalyptic number.

138029376 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 138029376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194238880).

138029376 is an abundant number, since it is smaller than the sum of its proper divisors (250448384).

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

138029376 is a wasteful number, since it uses less digits than its factorization.

138029376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 138029376 is about 11748.5903835311. The cubic root of 138029376 is about 516.8015904765.

The spelling of 138029376 in words is "one hundred thirty-eight million, twenty-nine thousand, three hundred seventy-six".