138930880 has 112 divisors (see below), whose sum is σ = 373623840. Its totient is φ = 48742400.

The previous prime is 138930877. The next prime is 138930881. The reversal of 138930880 is 88039831.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (138930881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101400 + ... + 102760.

Almost surely, 2^138930880 is an apocalyptic number.

138930880 is a gapful number since it is divisible by the number (10) 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 138930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186811920).

138930880 is an abundant number, since it is smaller than the sum of its proper divisors (234692960).

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

138930880 is a wasteful number, since it uses less digits than its factorization.

138930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 138930880 is about 11786.8944171058. The cubic root of 138930880 is about 517.9242695250.

The spelling of 138930880 in words is "one hundred thirty-eight million, nine hundred thirty thousand, eight hundred eighty".