159477120 has 256 divisors, whose sum is σ = 616896000. Its totient is φ = 38615040.

The previous prime is 159477107. The next prime is 159477121. The reversal of 159477120 is 21774951.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159477121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189661 + ... + 190499.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^159477120 is an apocalyptic number.

159477120 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 159477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).

159477120 is an abundant number, since it is smaller than the sum of its proper divisors (457418880).

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

159477120 is a wasteful number, since it uses less digits than its factorization.

159477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 159477120 is about 12628.4250799536. The cubic root of 159477120 is about 542.2914968176.

The spelling of 159477120 in words is "one hundred fifty-nine million, four hundred seventy-seven thousand, one hundred twenty".