1145233200 has 120 divisors (see below), whose sum is σ = 3795181200. Its totient is φ = 294855680.

The previous prime is 1145233157. The next prime is 1145233241. The reversal of 1145233200 is 23325411.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18346 + ... + 51254.

It is an arithmetic number, because the mean of its divisors is an integer number (31626510).

Almost surely, 2^1145233200 is an apocalyptic number.

1145233200 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 1145233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897590600).

1145233200 is an abundant number, since it is smaller than the sum of its proper divisors (2649948000).

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

1145233200 is a wasteful number, since it uses less digits than its factorization.

1145233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32959 (or 32948 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1145233200 is about 33841.2943014891. The cubic root of 1145233200 is about 1046.2399755523.

Adding to 1145233200 its reverse (23325411), we get a palindrome (1168558611).

The spelling of 1145233200 in words is "one billion, one hundred forty-five million, two hundred thirty-three thousand, two hundred".