138080884896 has 384 divisors, whose sum is σ = 437125248000. Its totient is φ = 42305421312.

The previous prime is 138080884861. The next prime is 138080884897. The reversal of 138080884896 is 698488080831.

It is not an unprimeable number, because it can be changed into a prime (138080884897) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 43570800 + ... + 43573968.

It is an arithmetic number, because the mean of its divisors is an integer number (1138347000).

Almost surely, 2^138080884896 is an apocalyptic number.

138080884896 is a gapful number since it is divisible by the number (16) 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 138080884896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218562624000).

138080884896 is an abundant number, since it is smaller than the sum of its proper divisors (299044363104).

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

138080884896 is a wasteful number, since it uses less digits than its factorization.

138080884896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 138080884896 in words is "one hundred thirty-eight billion, eighty million, eight hundred eighty-four thousand, eight hundred ninety-six".