159152217120 has 384 divisors, whose sum is σ = 631458374400. Its totient is φ = 37113790464.

The previous prime is 159152217109. The next prime is 159152217121. The reversal of 159152217120 is 21712251951.

159152217120 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 522 + 1 + 7 + 120 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (159152217121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 992464 + ... + 1141616.

It is an arithmetic number, because the mean of its divisors is an integer number (1644422850).

Almost surely, 2^159152217120 is an apocalyptic number.

159152217120 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 159152217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315729187200).

159152217120 is an abundant number, since it is smaller than the sum of its proper divisors (472306157280).

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

159152217120 is a wasteful number, since it uses less digits than its factorization.

159152217120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149209 (or 149195 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 159152217120 in words is "one hundred fifty-nine billion, one hundred fifty-two million, two hundred seventeen thousand, one hundred twenty".