159040360120320 has 2048 divisors, whose sum is σ = 669553709875200. Its totient is φ = 35058987565056.

The previous prime is 159040360120133. The next prime is 159040360120339. The reversal of 159040360120320 is 23021063040951.

159040360120320 is a `hidden beast` number, since 1 + 5 + 9 + 0 + 4 + 0 + 3 + 601 + 20 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×159040360120320² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145508105694 + ... + 145508106786.

It is an arithmetic number, because the mean of its divisors is an integer number (326930522400).

Almost surely, 2^{159040360120320} is an apocalyptic number.

159040360120320 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 159040360120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334776854937600).

159040360120320 is an abundant number, since it is smaller than the sum of its proper divisors (510513349754880).

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

159040360120320 is a wasteful number, since it uses less digits than its factorization.

159040360120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 159040360120320 in words is "one hundred fifty-nine trillion, forty billion, three hundred sixty million, one hundred twenty thousand, three hundred twenty".