138716928 has 288 divisors, whose sum is σ = 486635520. Its totient is φ = 38154240.

The previous prime is 138716911. The next prime is 138716939. The reversal of 138716928 is 829617831.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×138716928² = 38484772227514368, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2274018 + ... + 2274078.

Almost surely, 2^138716928 is an apocalyptic number.

138716928 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 138716928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243317760).

138716928 is an abundant number, since it is smaller than the sum of its proper divisors (347918592).

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

138716928 is an equidigital number, since it uses as much as digits as its factorization.

138716928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 138716928 is about 11777.8150775091. The cubic root of 138716928 is about 517.6582670722.

The spelling of 138716928 in words is "one hundred thirty-eight million, seven hundred sixteen thousand, nine hundred twenty-eight".