138928914432 has 1224 divisors, whose sum is σ = 559431999360. Its totient is φ = 32699842560.

The previous prime is 138928914419. The next prime is 138928914437. The reversal of 138928914432 is 234419829831.

138928914432 is a `hidden beast` number, since 1 + 38 + 92 + 8 + 91 + 4 + 432 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138928914437) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6040387573 + ... + 6040387595.

Almost surely, 2^138928914432 is an apocalyptic number.

138928914432 is a gapful number since it is divisible by the number (12) 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 138928914432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279715999680).

138928914432 is an abundant number, since it is smaller than the sum of its proper divisors (420503084928).

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

138928914432 is a wasteful number, since it uses less digits than its factorization.

138928914432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 138928914432 in words is "one hundred thirty-eight billion, nine hundred twenty-eight million, nine hundred fourteen thousand, four hundred thirty-two".