139995736128000 has 3840 divisors, whose sum is σ = 579421794631680. Its totient is φ = 33218076672000.

The previous prime is 139995736127993. The next prime is 139995736128187. The reversal of 139995736128000 is 821637599931.

139995736128000 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 9 + 5 + 7 + 3 + 612 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×139995736128000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1686695615959 + ... + 1686695616041.

It is an arithmetic number, because the mean of its divisors is an integer number (150891092352).

Almost surely, 2^{139995736128000} is an apocalyptic number.

139995736128000 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 139995736128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289710897315840).

139995736128000 is an abundant number, since it is smaller than the sum of its proper divisors (439426058503680).

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

139995736128000 is an equidigital number, since it uses as much as digits as its factorization.

139995736128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 139995736128000 in words is "one hundred thirty-nine trillion, nine hundred ninety-five billion, seven hundred thirty-six million, one hundred twenty-eight thousand".