138040903680 has 384 divisors, whose sum is σ = 471555302400. Its totient is φ = 34371993600.

The previous prime is 138040903673. The next prime is 138040903691. The reversal of 138040903680 is 86309040831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41439615 + ... + 41442945.

It is an arithmetic number, because the mean of its divisors is an integer number (1228008600).

Almost surely, 2^138040903680 is an apocalyptic number.

138040903680 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 138040903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235777651200).

138040903680 is an abundant number, since it is smaller than the sum of its proper divisors (333514398720).

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

138040903680 is a wasteful number, since it uses less digits than its factorization.

138040903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 138040903680 in words is "one hundred thirty-eight billion, forty million, nine hundred three thousand, six hundred eighty".