159132064768000 has 448 divisors, whose sum is σ = 402806167216128. Its totient is φ = 62755828531200.

The previous prime is 159132064767979. The next prime is 159132064768073. The reversal of 159132064768000 is 867460231951.

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, 21197820247 + ... + 21197827753.

It is a 1-persistent number, because it is pandigital, but 2⋅159132064768000 = 318264129536000 is not.

Almost surely, 2^{159132064768000} is an apocalyptic number.

159132064768000 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 159132064768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201403083608064).

159132064768000 is an abundant number, since it is smaller than the sum of its proper divisors (243674102448128).

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

159132064768000 is an equidigital number, since it uses as much as digits as its factorization.

159132064768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7838 (or 7804 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 159132064768000 in words is "one hundred fifty-nine trillion, one hundred thirty-two billion, sixty-four million, seven hundred sixty-eight thousand".