138567607027200 has 5760 divisors, whose sum is σ = 621761526144000. Its totient is φ = 30060498124800.

The previous prime is 138567607027163. The next prime is 138567607027249. The reversal of 138567607027200 is 2720706765831.

It is a happy number.

138567607027200 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 6 + 7 + 607 + 0 + 2 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1556939404756 + ... + 1556939404844.

It is an arithmetic number, because the mean of its divisors is an integer number (107944709400).

Almost surely, 2^{138567607027200} is an apocalyptic number.

138567607027200 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 138567607027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310880763072000).

138567607027200 is an abundant number, since it is smaller than the sum of its proper divisors (483193919116800).

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

138567607027200 is a wasteful number, since it uses less digits than its factorization.

138567607027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 138567607027200 in words is "one hundred thirty-eight trillion, five hundred sixty-seven billion, six hundred seven million, twenty-seven thousand, two hundred".