159216000 has 256 divisors, whose sum is σ = 549918720. Its totient is φ = 40704000.

The previous prime is 159215981. The next prime is 159216007. The reversal of 159216000 is 612951.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159216007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1487947 + ... + 1488053.

It is an arithmetic number, because the mean of its divisors is an integer number (2148120).

Almost surely, 2^159216000 is an apocalyptic number.

159216000 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 159216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274959360).

159216000 is an abundant number, since it is smaller than the sum of its proper divisors (390702720).

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

159216000 is a wasteful number, since it uses less digits than its factorization.

159216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 159216000 is about 12618.0822631650. The cubic root of 159216000 is about 541.9953613161.

Adding to 159216000 its reverse (612951), we get a palindrome (159828951).

The spelling of 159216000 in words is "one hundred fifty-nine million, two hundred sixteen thousand".