138342673300 has 72 divisors (see below), whose sum is σ = 325209697400. Its totient is φ = 51080290560.

The previous prime is 138342673277. The next prime is 138342673333. The reversal of 138342673300 is 3376243831.

138342673300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 138334900356 + 7772944 = 371934^2 + 2788^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95145 + ... + 534544.

Almost surely, 2^138342673300 is an apocalyptic number.

138342673300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138342673300 is an abundant number, since it is smaller than the sum of its proper divisors (186867024100).

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

138342673300 is a wasteful number, since it uses less digits than its factorization.

138342673300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629742 (or 629709 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 138342673300 in words is "one hundred thirty-eight billion, three hundred forty-two million, six hundred seventy-three thousand, three hundred".