1159302144 has 528 divisors, whose sum is σ = 4315403520. Its totient is φ = 268369920.

The previous prime is 1159302127. The next prime is 1159302149. The reversal of 1159302144 is 4412039511.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×1159302144² = 2687962922165993472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1159302149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39975922 + ... + 39975950.

Almost surely, 2^1159302144 is an apocalyptic number.

1159302144 is a gapful number since it is divisible by the number (14) 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 1159302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157701760).

1159302144 is an abundant number, since it is smaller than the sum of its proper divisors (3156101376).

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

1159302144 is a wasteful number, since it uses less digits than its factorization.

1159302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1159302144 is about 34048.5263117216. The cubic root of 1159302144 is about 1050.5068283337.

It can be divided in two parts, 1159 and 302144, that added together give a palindrome (303303).

The spelling of 1159302144 in words is "one billion, one hundred fifty-nine million, three hundred two thousand, one hundred forty-four".