138713105300 has 324 divisors, whose sum is σ = 397345318272. Its totient is φ = 41835024000.

The previous prime is 138713105287. The next prime is 138713105351. The reversal of 138713105300 is 3501317831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18376127 + ... + 18383673.

Almost surely, 2^138713105300 is an apocalyptic number.

138713105300 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 138713105300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198672659136).

138713105300 is an abundant number, since it is smaller than the sum of its proper divisors (258632212972).

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

138713105300 is a wasteful number, since it uses less digits than its factorization.

138713105300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 7603 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 138713105300 in words is "one hundred thirty-eight billion, seven hundred thirteen million, one hundred five thousand, three hundred".