159744000 has 256 divisors, whose sum is σ = 572513760. Its totient is φ = 39321600.

The previous prime is 159743999. The next prime is 159744007. The reversal of 159744000 is 447951.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159744007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12287994 + ... + 12288006.

Almost surely, 2^159744000 is an apocalyptic number.

159744000 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 159744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286256880).

159744000 is an abundant number, since it is smaller than the sum of its proper divisors (412769760).

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

159744000 is an frugal number, since it uses more digits than its factorization.

159744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 159744000 is about 12638.9873012042. The cubic root of 159744000 is about 542.5938308823.

The spelling of 159744000 in words is "one hundred fifty-nine million, seven hundred forty-four thousand".