138169422720 has 1536 divisors, whose sum is σ = 606285388800. Its totient is φ = 28293857280.

The previous prime is 138169422709. The next prime is 138169422749. The reversal of 138169422720 is 27224961831.

138169422720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1664691799 + ... + 1664691881.

It is an arithmetic number, because the mean of its divisors is an integer number (394717050).

Almost surely, 2^138169422720 is an apocalyptic number.

138169422720 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 138169422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303142694400).

138169422720 is an abundant number, since it is smaller than the sum of its proper divisors (468115966080).

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

138169422720 is a wasteful number, since it uses less digits than its factorization.

138169422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 138169422720 in words is "one hundred thirty-eight billion, one hundred sixty-nine million, four hundred twenty-two thousand, seven hundred twenty".