159261440 has 144 divisors (see below), whose sum is σ = 435764448. Its totient is φ = 55246848.

The previous prime is 159261433. The next prime is 159261451. The reversal of 159261440 is 44162951.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 159261397 and 159261406.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 282599 + ... + 283161.

It is an arithmetic number, because the mean of its divisors is an integer number (3026142).

Almost surely, 2^159261440 is an apocalyptic number.

159261440 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 159261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217882224).

159261440 is an abundant number, since it is smaller than the sum of its proper divisors (276503008).

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

159261440 is a wasteful number, since it uses less digits than its factorization.

159261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 159261440 is about 12619.8827252871. The cubic root of 159261440 is about 542.0469179575.

The spelling of 159261440 in words is "one hundred fifty-nine million, two hundred sixty-one thousand, four hundred forty".