138621382900 has 144 divisors (see below), whose sum is σ = 403882899840. Its totient is φ = 39883046400.

The previous prime is 138621382897. The next prime is 138621382919. The reversal of 138621382900 is 9283126831.

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 47 ways as a sum of consecutive naturals, for example, 592315 + ... + 792514.

It is an arithmetic number, because the mean of its divisors is an integer number (2804742360).

Almost surely, 2^138621382900 is an apocalyptic number.

138621382900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138621382900 is an abundant number, since it is smaller than the sum of its proper divisors (265261516940).

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

138621382900 is a wasteful number, since it uses less digits than its factorization.

138621382900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384874 (or 1384867 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 138621382900 in words is "one hundred thirty-eight billion, six hundred twenty-one million, three hundred eighty-two thousand, nine hundred".