138412872000 has 1344 divisors, whose sum is σ = 577502365440. Its totient is φ = 31352832000.

The previous prime is 138412871977. The next prime is 138412872047. The reversal of 138412872000 is 278214831.

138412872000 is a `hidden beast` number, since 1 + 38 + 412 + 8 + 7 + 200 + 0 = 666.

It is a super-3 number, since 3×138412872000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 764711910 + ... + 764712090.

It is an arithmetic number, because the mean of its divisors is an integer number (429689260).

Almost surely, 2^138412872000 is an apocalyptic number.

138412872000 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 138412872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288751182720).

138412872000 is an abundant number, since it is smaller than the sum of its proper divisors (439089493440).

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

138412872000 is a wasteful number, since it uses less digits than its factorization.

138412872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 138412872000 in words is "one hundred thirty-eight billion, four hundred twelve million, eight hundred seventy-two thousand".