159420456 has 96 divisors (see below), whose sum is σ = 468042120. Its totient is φ = 48729600.

The previous prime is 159420451. The next prime is 159420463. The reversal of 159420456 is 654024951.

159420456 is a `hidden beast` number, since 1 + 594 + 20 + 45 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66683556 + 92736900 = 8166^2 + 9630^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 159420456.

It is not an unprimeable number, because it can be changed into a prime (159420451) 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 23 ways as a sum of consecutive naturals, for example, 168946 + ... + 169886.

Almost surely, 2^159420456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159420456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234021060).

159420456 is an abundant number, since it is smaller than the sum of its proper divisors (308621664).

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

159420456 is a wasteful number, since it uses less digits than its factorization.

159420456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 159420456 is about 12626.1813704699. The cubic root of 159420456 is about 542.2272618028.

The spelling of 159420456 in words is "one hundred fifty-nine million, four hundred twenty thousand, four hundred fifty-six".