138450221280 has 576 divisors, whose sum is σ = 560431872000. Its totient is φ = 31102848000.

The previous prime is 138450221233. The next prime is 138450221291. The reversal of 138450221280 is 82122054831.

It is a happy number.

138450221280 is a `hidden beast` number, since 1 + 384 + 50 + 221 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29138905 + ... + 29143655.

It is an arithmetic number, because the mean of its divisors is an integer number (972972000).

Almost surely, 2^138450221280 is an apocalyptic number.

138450221280 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 138450221280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280215936000).

138450221280 is an abundant number, since it is smaller than the sum of its proper divisors (421981650720).

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

138450221280 is a wasteful number, since it uses less digits than its factorization.

138450221280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 138450221280 in words is "one hundred thirty-eight billion, four hundred fifty million, two hundred twenty-one thousand, two hundred eighty".