159750144000 has 840 divisors, whose sum is σ = 603399848688. Its totient is φ = 42201907200.

The previous prime is 159750143989. The next prime is 159750144079. The reversal of 159750144000 is 441057951.

159750144000 is a `hidden beast` number, since 1 + 597 + 50 + 14 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1492991947 + ... + 1492992053.

Almost surely, 2^159750144000 is an apocalyptic number.

159750144000 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 159750144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301699924344).

159750144000 is an abundant number, since it is smaller than the sum of its proper divisors (443649704688).

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

159750144000 is an frugal number, since it uses more digits than its factorization.

159750144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 159750144000 in words is "one hundred fifty-nine billion, seven hundred fifty million, one hundred forty-four thousand".