138890382400 has 441 divisors, whose sum is σ = 437309633253. Its totient is φ = 43290508800.

The previous prime is 138890382361. The next prime is 138890382523. The reversal of 138890382400 is 4283098831.

The square root of 138890382400 is 372680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50000537664 + 88889844736 = 223608^2 + 298144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12626398395 + ... + 12626398405.

Almost surely, 2^138890382400 is an apocalyptic number.

138890382400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138890382400 is the 372680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138890382400

138890382400 is an abundant number, since it is smaller than the sum of its proper divisors (298419250853).

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

138890382400 is an frugal number, since it uses more digits than its factorization.

138890382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 138890382400 in words is "one hundred thirty-eight billion, eight hundred ninety million, three hundred eighty-two thousand, four hundred".