138928900 has 72 divisors (see below), whose sum is σ = 335228544. Its totient is φ = 49545600.

The previous prime is 138928891. The next prime is 138928939. The reversal of 138928900 is 9829831.

138928900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57109 + ... + 59491.

It is an arithmetic number, because the mean of its divisors is an integer number (4655952).

Almost surely, 2^138928900 is an apocalyptic number.

138928900 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 138928900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167614272).

138928900 is an abundant number, since it is smaller than the sum of its proper divisors (196299644).

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

138928900 is a wasteful number, since it uses less digits than its factorization.

138928900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 138928900 is about 11786.8104252168. The cubic root of 138928900 is about 517.9218090811.

The spelling of 138928900 in words is "one hundred thirty-eight million, nine hundred twenty-eight thousand, nine hundred".