159991200 has 216 divisors, whose sum is σ = 585775008. Its totient is φ = 42612480.

The previous prime is 159991159. The next prime is 159991207. The reversal of 159991200 is 2199951.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (159991207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 193989 + ... + 194811.

Almost surely, 2^159991200 is an apocalyptic number.

159991200 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 159991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292887504).

159991200 is an abundant number, since it is smaller than the sum of its proper divisors (425783808).

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

159991200 is an equidigital number, since it uses as much as digits as its factorization.

159991200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 159991200 is about 12648.7627853478. The cubic root of 159991200 is about 542.8735702719.

The spelling of 159991200 in words is "one hundred fifty-nine million, nine hundred ninety-one thousand, two hundred".