1133721160 has 256 divisors, whose sum is σ = 3233260800. Its totient is φ = 351436800.

The previous prime is 1133721133. The next prime is 1133721161. The reversal of 1133721160 is 611273311.

It is not an unprimeable number, because it can be changed into a prime (1133721161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8654295 + ... + 8654425.

It is an arithmetic number, because the mean of its divisors is an integer number (12629925).

Almost surely, 2^1133721160 is an apocalyptic number.

1133721160 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 1133721160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616630400).

1133721160 is an abundant number, since it is smaller than the sum of its proper divisors (2099539640).

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

1133721160 is a wasteful number, since it uses less digits than its factorization.

1133721160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 1133721160 is about 33670.7760528325. The cubic root of 1133721160 is about 1042.7225142134.

Adding to 1133721160 its reverse (611273311), we get a palindrome (1744994471).

It can be divided in two parts, 113 and 3721160, that added together give a palindrome (3721273).

The spelling of 1133721160 in words is "one billion, one hundred thirty-three million, seven hundred twenty-one thousand, one hundred sixty".