138647729827200 has 1536 divisors, whose sum is σ = 531678783237120. Its totient is φ = 31423135744000.

The previous prime is 138647729827181. The next prime is 138647729827337. The reversal of 138647729827200 is 2728927746831.

138647729827200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 36172116484 + ... + 36172120316.

It is an arithmetic number, because the mean of its divisors is an integer number (346145041170).

Almost surely, 2^{138647729827200} is an apocalyptic number.

138647729827200 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 138647729827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265839391618560).

138647729827200 is an abundant number, since it is smaller than the sum of its proper divisors (393031053409920).

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

138647729827200 is a wasteful number, since it uses less digits than its factorization.

138647729827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 66.

The spelling of 138647729827200 in words is "one hundred thirty-eight trillion, six hundred forty-seven billion, seven hundred twenty-nine million, eight hundred twenty-seven thousand, two hundred".