159735240 has 160 divisors (see below), whose sum is σ = 613673280. Its totient is φ = 36505728.

The previous prime is 159735211. The next prime is 159735241. The reversal of 159735240 is 42537951.

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 = 159735195 and 159735204.

It is not an unprimeable number, because it can be changed into a prime (159735241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19159 + ... + 26201.

It is an arithmetic number, because the mean of its divisors is an integer number (3835458).

Almost surely, 2^159735240 is an apocalyptic number.

159735240 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 159735240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306836640).

159735240 is an abundant number, since it is smaller than the sum of its proper divisors (453938040).

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

159735240 is a wasteful number, since it uses less digits than its factorization.

159735240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7073 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 159735240 is about 12638.6407497009. The cubic root of 159735240 is about 542.5839124944.

The spelling of 159735240 in words is "one hundred fifty-nine million, seven hundred thirty-five thousand, two hundred forty".