138994409600 has 192 divisors, whose sum is σ = 359026128000. Its totient is φ = 53071011840.

The previous prime is 138994409581. The next prime is 138994409621. The reversal of 138994409600 is 6904499831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41876741 + ... + 41880059.

It is an arithmetic number, because the mean of its divisors is an integer number (1869927750).

Almost surely, 2^138994409600 is an apocalyptic number.

138994409600 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 138994409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179513064000).

138994409600 is an abundant number, since it is smaller than the sum of its proper divisors (220031718400).

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

138994409600 is a wasteful number, since it uses less digits than its factorization.

138994409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 53.

The spelling of 138994409600 in words is "one hundred thirty-eight billion, nine hundred ninety-four million, four hundred nine thousand, six hundred".