159952000 has 128 divisors (see below), whose sum is σ = 428828400. Its totient is φ = 58982400.

The previous prime is 159951977. The next prime is 159952003. The reversal of 159952000 is 259951.

159952000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 788544 + 159163456 = 888^2 + 12616^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (159952003) 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, 207616 + ... + 208384.

Almost surely, 2^159952000 is an apocalyptic number.

159952000 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 159952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214414200).

159952000 is an abundant number, since it is smaller than the sum of its proper divisors (268876400).

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

159952000 is an equidigital number, since it uses as much as digits as its factorization.

159952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 159952000 is about 12647.2131317536. The cubic root of 159952000 is about 542.8292295369.

The spelling of 159952000 in words is "one hundred fifty-nine million, nine hundred fifty-two thousand".