159147072 has 224 divisors, whose sum is σ = 546201600. Its totient is φ = 44499456.

The previous prime is 159147071. The next prime is 159147083. The reversal of 159147072 is 270741951.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 (159147071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713553 + ... + 713775.

It is an arithmetic number, because the mean of its divisors is an integer number (2438400).

Almost surely, 2^159147072 is an apocalyptic number.

159147072 is a gapful number since it is divisible by the number (12) 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 159147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273100800).

159147072 is an abundant number, since it is smaller than the sum of its proper divisors (387054528).

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

159147072 is a wasteful number, since it uses less digits than its factorization.

159147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 159147072 is about 12615.3506491100. The cubic root of 159147072 is about 541.9171362452.

The spelling of 159147072 in words is "one hundred fifty-nine million, one hundred forty-seven thousand, seventy-two".