1132033200 has 120 divisors (see below), whose sum is σ = 3743379456. Its totient is φ = 292128000.

The previous prime is 1132033171. The next prime is 1132033219. The reversal of 1132033200 is 23302311.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1132033200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21985 + ... + 52415.

Almost surely, 2^1132033200 is an apocalyptic number.

1132033200 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 1132033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871689728).

1132033200 is an abundant number, since it is smaller than the sum of its proper divisors (2611346256).

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

1132033200 is a wasteful number, since it uses less digits than its factorization.

1132033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30483 (or 30472 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1132033200 is about 33645.7010626915. The cubic root of 1132033200 is about 1042.2047654683.

Adding to 1132033200 its reverse (23302311), we get a palindrome (1155335511).

It can be divided in two parts, 113203 and 3200, that added together give a triangular number (116403 = T₄₈₂).

The spelling of 1132033200 in words is "one billion, one hundred thirty-two million, thirty-three thousand, two hundred".