1132567200 has 432 divisors, whose sum is σ = 4460339520. Its totient is φ = 268738560.

The previous prime is 1132567199. The next prime is 1132567207. The reversal of 1132567200 is 27652311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1132567207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2325357 + ... + 2325843.

It is an arithmetic number, because the mean of its divisors is an integer number (10324860).

Almost surely, 2^1132567200 is an apocalyptic number.

1132567200 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 1132567200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230169760).

1132567200 is an abundant number, since it is smaller than the sum of its proper divisors (3327772320).

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

1132567200 is a wasteful number, since it uses less digits than its factorization.

1132567200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1132567200 is about 33653.6357619797. The cubic root of 1132567200 is about 1042.3686151558.

The spelling of 1132567200 in words is "one billion, one hundred thirty-two million, five hundred sixty-seven thousand, two hundred".