138882023280 has 1920 divisors, whose sum is σ = 664508897280. Its totient is φ = 26202009600.

The previous prime is 138882023279. The next prime is 138882023303. The reversal of 138882023280 is 82320288831.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2276754450 + ... + 2276754510.

It is an arithmetic number, because the mean of its divisors is an integer number (346098384).

Almost surely, 2^138882023280 is an apocalyptic number.

138882023280 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 138882023280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332254448640).

138882023280 is an abundant number, since it is smaller than the sum of its proper divisors (525626874000).

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

138882023280 is a wasteful number, since it uses less digits than its factorization.

138882023280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 138882023280 in words is "one hundred thirty-eight billion, eight hundred eighty-two million, twenty-three thousand, two hundred eighty".