159459456 has 128 divisors (see below), whose sum is σ = 483235200. Its totient is φ = 46153728.

The previous prime is 159459451. The next prime is 159459467. The reversal of 159459456 is 654954951.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (159459451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83925 + ... + 85803.

It is an arithmetic number, because the mean of its divisors is an integer number (3775275).

Almost surely, 2^159459456 is an apocalyptic number.

159459456 is a gapful number since it is divisible by the number (16) 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 159459456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241617600).

159459456 is an abundant number, since it is smaller than the sum of its proper divisors (323775744).

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

159459456 is a wasteful number, since it uses less digits than its factorization.

159459456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1914 counting only the distinct ones).

The product of its digits is 972000, while the sum is 48.

The square root of 159459456 is about 12627.7256859658. The cubic root of 159459456 is about 542.2714743201.

The spelling of 159459456 in words is "one hundred fifty-nine million, four hundred fifty-nine thousand, four hundred fifty-six".