159413040 has 240 divisors, whose sum is σ = 578772480. Its totient is φ = 39191040.

The previous prime is 159413039. The next prime is 159413053. The reversal of 159413040 is 40314951.

159413040 is a `hidden beast` number, since 1 + 594 + 1 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 159412995 and 159413013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588105 + ... + 588375.

It is an arithmetic number, because the mean of its divisors is an integer number (2411552).

Almost surely, 2^159413040 is an apocalyptic number.

159413040 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 159413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289386240).

159413040 is an abundant number, since it is smaller than the sum of its proper divisors (419359440).

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

159413040 is a wasteful number, since it uses less digits than its factorization.

159413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 159413040 is about 12625.8876915645. The cubic root of 159413040 is about 542.2188538067.

Adding to 159413040 its reverse (40314951), we get a palindrome (199727991).

It can be divided in two parts, 15941 and 3040, that added together give a palindrome (18981).

The spelling of 159413040 in words is "one hundred fifty-nine million, four hundred thirteen thousand, forty".