138078069120 has 320 divisors, whose sum is σ = 522111031200. Its totient is φ = 34654666752.

The previous prime is 138078069113. The next prime is 138078069139. The reversal of 138078069120 is 21960870831.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 802941 + ... + 959619.

Almost surely, 2^138078069120 is an apocalyptic number.

138078069120 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 138078069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261055515600).

138078069120 is an abundant number, since it is smaller than the sum of its proper divisors (384032962080).

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

138078069120 is a wasteful number, since it uses less digits than its factorization.

138078069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156727 (or 156706 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 138078069120 in words is "one hundred thirty-eight billion, seventy-eight million, sixty-nine thousand, one hundred twenty".