138941049312 has 72 divisors (see below), whose sum is σ = 425506974984. Its totient is φ = 42751090944.

The previous prime is 138941049281. The next prime is 138941049337. The reversal of 138941049312 is 213940149831.

138941049312 is a `hidden beast` number, since 138 + 9 + 4 + 10 + 493 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 18551418 + ... + 18558905.

It is an arithmetic number, because the mean of its divisors is an integer number (5909819097).

Almost surely, 2^138941049312 is an apocalyptic number.

138941049312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138941049312 is an abundant number, since it is smaller than the sum of its proper divisors (286565925672).

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

138941049312 is a wasteful number, since it uses less digits than its factorization.

138941049312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37110352 (or 37110341 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 138941049312 in words is "one hundred thirty-eight billion, nine hundred forty-one million, forty-nine thousand, three hundred twelve".