138848256000 has 960 divisors, whose sum is σ = 536518993920. Its totient is φ = 35831808000.

The previous prime is 138848255977. The next prime is 138848256067. The reversal of 138848256000 is 652848831.

138848256000 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 4 + 82 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4478975985 + ... + 4478976015.

It is an arithmetic number, because the mean of its divisors is an integer number (558873952).

Almost surely, 2^138848256000 is an apocalyptic number.

138848256000 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 138848256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268259496960).

138848256000 is an abundant number, since it is smaller than the sum of its proper divisors (397670737920).

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

138848256000 is an frugal number, since it uses more digits than its factorization.

138848256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 138848256000 in words is "one hundred thirty-eight billion, eight hundred forty-eight million, two hundred fifty-six thousand".