138940896000 has 288 divisors, whose sum is σ = 462320913600. Its totient is φ = 36984422400.

The previous prime is 138940895993. The next prime is 138940896013. The reversal of 138940896000 is 698049831.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 77663106 + ... + 77664894.

It is an arithmetic number, because the mean of its divisors is an integer number (1605280950).

Almost surely, 2^138940896000 is an apocalyptic number.

138940896000 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 138940896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231160456800).

138940896000 is an abundant number, since it is smaller than the sum of its proper divisors (323380017600).

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

138940896000 is an equidigital number, since it uses as much as digits as its factorization.

138940896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 138940896000 in words is "one hundred thirty-eight billion, nine hundred forty million, eight hundred ninety-six thousand".