159126120 has 256 divisors, whose sum is σ = 573868800. Its totient is φ = 39564288.

The previous prime is 159126119. The next prime is 159126133. The reversal of 159126120 is 21621951.

It is a super-2 number, since 2×159126120² = 50642244132508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1487107 + ... + 1487213.

It is an arithmetic number, because the mean of its divisors is an integer number (2241675).

Almost surely, 2^159126120 is an apocalyptic number.

159126120 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 159126120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286934400).

159126120 is an abundant number, since it is smaller than the sum of its proper divisors (414742680).

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

159126120 is a wasteful number, since it uses less digits than its factorization.

159126120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 159126120 is about 12614.5202049067. The cubic root of 159126120 is about 541.8933537443.

The spelling of 159126120 in words is "one hundred fifty-nine million, one hundred twenty-six thousand, one hundred twenty".