159201000 has 432 divisors, whose sum is σ = 660631140. Its totient is φ = 34473600.

The previous prime is 159200999. The next prime is 159201071. The reversal of 159201000 is 102951.

159201000 = 190³ + 191³ + ... + 209³.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 107619876 + 51581124 = 10374^2 + 7182^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8378991 + ... + 8379009.

Almost surely, 2^159201000 is an apocalyptic number.

159201000 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 159201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330315570).

159201000 is an abundant number, since it is smaller than the sum of its proper divisors (501430140).

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

159201000 is a wasteful number, since it uses less digits than its factorization.

159201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 159201000 is about 12617.4878640718. The cubic root of 159201000 is about 541.9783400248.

Multiplying 159201000 by its product of nonzero digits (90), we get a square (14328090000 = 119700²).

159201000 divided by its product of nonzero digits (90) gives a square (1768900 = 1330²).

Adding to 159201000 its reverse (102951), we get a palindrome (159303951).

The spelling of 159201000 in words is "one hundred fifty-nine million, two hundred one thousand".