159137792640 has 256 divisors, whose sum is σ = 564242457600. Its totient is φ = 42389360640.

The previous prime is 159137792623. The next prime is 159137792669. The reversal of 159137792640 is 46297731951.

159137792640 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 377 + 9 + 264 + 0 = 666.

159137792640 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 (54).

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, 17119834 + ... + 17129126.

It is an arithmetic number, because the mean of its divisors is an integer number (2204072100).

Almost surely, 2^159137792640 is an apocalyptic number.

159137792640 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 159137792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282121228800).

159137792640 is an abundant number, since it is smaller than the sum of its proper divisors (405104664960).

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

159137792640 is an equidigital number, since it uses as much as digits as its factorization.

159137792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10312 (or 10294 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 159137792640 in words is "one hundred fifty-nine billion, one hundred thirty-seven million, seven hundred ninety-two thousand, six hundred forty".