159252480 has 216 divisors, whose sum is σ = 572520312. Its totient is φ = 42467328.

The previous prime is 159252469. The next prime is 159252557. The reversal of 159252480 is 84252951.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)³ ⋅ (2!)⁴.

159252480 is a `hidden beast` number, since 1 + 59 + 2 + 524 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×159252480² = 50722704772300800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31850494 + ... + 31850498.

It is an arithmetic number, because the mean of its divisors is an integer number (2650557).

Almost surely, 2^159252480 is an apocalyptic number.

159252480 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 159252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286260156).

159252480 is an abundant number, since it is smaller than the sum of its proper divisors (413267832).

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

159252480 is an frugal number, since it uses more digits than its factorization.

159252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 159252480 is about 12619.5277249190. The cubic root of 159252480 is about 542.0367526355.

The spelling of 159252480 in words is "one hundred fifty-nine million, two hundred fifty-two thousand, four hundred eighty".