138420747584 has 168 divisors, whose sum is σ = 324420707520. Its totient is φ = 58421121024.

The previous prime is 138420747571. The next prime is 138420747593. The reversal of 138420747584 is 485747024831.

It is a happy number.

138420747584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59178287 + ... + 59180625.

It is an arithmetic number, because the mean of its divisors is an integer number (1931075640).

Almost surely, 2^138420747584 is an apocalyptic number.

138420747584 is a gapful number since it is divisible by the number (14) 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 138420747584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162210353760).

138420747584 is an abundant number, since it is smaller than the sum of its proper divisors (185999959936).

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

138420747584 is a wasteful number, since it uses less digits than its factorization.

138420747584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 53.

The spelling of 138420747584 in words is "one hundred thirty-eight billion, four hundred twenty million, seven hundred forty-seven thousand, five hundred eighty-four".