159959040 has 192 divisors, whose sum is σ = 528353280. Its totient is φ = 41287680.

The previous prime is 159959021. The next prime is 159959057. The reversal of 159959040 is 40959951.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 159958983 and 159959001.

It is a congruent number.

It is an unprimeable number.

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, 1259457 + ... + 1259583.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^159959040 is an apocalyptic number.

159959040 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 159959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

159959040 is an abundant number, since it is smaller than the sum of its proper divisors (368394240).

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

159959040 is a wasteful number, since it uses less digits than its factorization.

159959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 159959040 is about 12647.4914508767. The cubic root of 159959040 is about 542.8371933046.

The spelling of 159959040 in words is "one hundred fifty-nine million, nine hundred fifty-nine thousand, forty".