138385894348800 has 1152 divisors, whose sum is σ = 615105680716800. Its totient is φ = 29770375495680.

The previous prime is 138385894348787. The next prime is 138385894348811. The reversal of 138385894348800 is 8843498583831.

138385894348800 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 8 + 58 + 94 + 3 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×138385894348800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164084989 + ... + 164926211.

It is an arithmetic number, because the mean of its divisors is an integer number (533945903400).

Almost surely, 2^{138385894348800} is an apocalyptic number.

138385894348800 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 138385894348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307552840358400).

138385894348800 is an abundant number, since it is smaller than the sum of its proper divisors (476719786368000).

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

138385894348800 is a wasteful number, since it uses less digits than its factorization.

138385894348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841288 (or 841257 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 138385894348800 in words is "one hundred thirty-eight trillion, three hundred eighty-five billion, eight hundred ninety-four million, three hundred forty-eight thousand, eight hundred".