138947328 has 108 divisors (see below), whose sum is σ = 431529280. Its totient is φ = 42743808.

The previous prime is 138947297. The next prime is 138947357. The reversal of 138947328 is 823749831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27633 + ... + 32271.

Almost surely, 2^138947328 is an apocalyptic number.

138947328 is a gapful number since it is divisible by the number (18) 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 138947328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215764640).

138947328 is an abundant number, since it is smaller than the sum of its proper divisors (292581952).

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

138947328 is a wasteful number, since it uses less digits than its factorization.

138947328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 4657 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 138947328 is about 11787.5921205308. The cubic root of 138947328 is about 517.9447077032.

The spelling of 138947328 in words is "one hundred thirty-eight million, nine hundred forty-seven thousand, three hundred twenty-eight".