159148800 has 270 divisors, whose sum is σ = 590362388. Its totient is φ = 42301440.

The previous prime is 159148793. The next prime is 159148811. The reversal of 159148800 is 8841951.

It is a tau number, because it is divible by the number of its divisors (270).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 518247 + ... + 518553.

Almost surely, 2^159148800 is an apocalyptic number.

159148800 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 159148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295181194).

159148800 is an abundant number, since it is smaller than the sum of its proper divisors (431213588).

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

159148800 is an equidigital number, since it uses as much as digits as its factorization.

159148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 159148800 is about 12615.4191369134. The cubic root of 159148800 is about 541.9190975954.

The spelling of 159148800 in words is "one hundred fifty-nine million, one hundred forty-eight thousand, eight hundred".