159805440 has 312 divisors, whose sum is σ = 603512880. Its totient is φ = 40108032.

The previous prime is 159805369. The next prime is 159805469. The reversal of 159805440 is 44508951.

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

It is a junction number, because it is equal to n+sod(n) for n = 159805395 and 159805404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9400312 + ... + 9400328.

Almost surely, 2^159805440 is an apocalyptic number.

159805440 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 159805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301756440).

159805440 is an abundant number, since it is smaller than the sum of its proper divisors (443707440).

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

159805440 is an equidigital number, since it uses as much as digits as its factorization.

159805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 159805440 is about 12641.4176420210. The cubic root of 159805440 is about 542.6633852775.

The spelling of 159805440 in words is "one hundred fifty-nine million, eight hundred five thousand, four hundred forty".