138100536000 has 672 divisors, whose sum is σ = 582859530240. Its totient is φ = 30544128000.

The previous prime is 138100535983. The next prime is 138100536053. The reversal of 138100536000 is 635001831.

138100536000 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 0 + 0 + 53 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 15619581 + ... + 15628419.

Almost surely, 2^138100536000 is an apocalyptic number.

138100536000 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 138100536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291429765120).

138100536000 is an abundant number, since it is smaller than the sum of its proper divisors (444758994240).

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

138100536000 is a wasteful number, since it uses less digits than its factorization.

138100536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8910 (or 8887 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 138100536000 its reverse (635001831), we get a palindrome (138735537831).

The spelling of 138100536000 in words is "one hundred thirty-eight billion, one hundred million, five hundred thirty-six thousand".