139778430316800 has 864 divisors, whose sum is σ = 509978939258880. Its totient is φ = 33432150835200.

The previous prime is 139778430316787. The next prime is 139778430316801. The reversal of 139778430316800 is 8613034877931.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (139778430316801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 33820087534 + ... + 33820091666.

It is an arithmetic number, because the mean of its divisors is an integer number (590253401920).

Almost surely, 2^{139778430316800} is an apocalyptic number.

139778430316800 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 139778430316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254989469629440).

139778430316800 is an abundant number, since it is smaller than the sum of its proper divisors (370200508942080).

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

139778430316800 is a wasteful number, since it uses less digits than its factorization.

139778430316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279 (or 6260 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 139778430316800 in words is "one hundred thirty-nine trillion, seven hundred seventy-eight billion, four hundred thirty million, three hundred sixteen thousand, eight hundred".