159307914240 has 352 divisors, whose sum is σ = 574160901120. Its totient is φ = 41881190400.

The previous prime is 159307914239. The next prime is 159307914289. The reversal of 159307914240 is 42419703951.

159307914240 is a `hidden beast` number, since 1 + 593 + 0 + 7 + 9 + 14 + 2 + 40 = 666.

159307914240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9806925 + ... + 9823155.

Almost surely, 2^159307914240 is an apocalyptic number.

159307914240 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 159307914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287080450560).

159307914240 is an abundant number, since it is smaller than the sum of its proper divisors (414852986880).

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

159307914240 is a wasteful number, since it uses less digits than its factorization.

159307914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16336 (or 16312 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 159307914240 in words is "one hundred fifty-nine billion, three hundred seven million, nine hundred fourteen thousand, two hundred forty".