138394884600 has 864 divisors, whose sum is σ = 569111119200. Its totient is φ = 30007756800.

The previous prime is 138394884599. The next prime is 138394884623. The reversal of 138394884600 is 6488493831.

138394884600 is a `hidden beast` number, since 13 + 8 + 3 + 94 + 88 + 460 + 0 = 666.

138394884600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 156025357 + ... + 156026243.

It is an arithmetic number, because the mean of its divisors is an integer number (658693425).

Almost surely, 2^138394884600 is an apocalyptic number.

138394884600 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 138394884600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284555559600).

138394884600 is an abundant number, since it is smaller than the sum of its proper divisors (430716234600).

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

138394884600 is a wasteful number, since it uses less digits than its factorization.

138394884600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 138394884600 in words is "one hundred thirty-eight billion, three hundred ninety-four million, eight hundred eighty-four thousand, six hundred".