1131445200 has 240 divisors, whose sum is σ = 3943944000. Its totient is φ = 276111360.

The previous prime is 1131445181. The next prime is 1131445213. The reversal of 1131445200 is 25441311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754051 + ... + 755549.

It is an arithmetic number, because the mean of its divisors is an integer number (16433100).

Almost surely, 2^1131445200 is an apocalyptic number.

1131445200 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 1131445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971972000).

1131445200 is an abundant number, since it is smaller than the sum of its proper divisors (2812498800).

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

1131445200 is a wasteful number, since it uses less digits than its factorization.

1131445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1131445200 is about 33636.9618128629. The cubic root of 1131445200 is about 1042.0242870937.

Adding to 1131445200 its reverse (25441311), we get a palindrome (1156886511).

The spelling of 1131445200 in words is "one billion, one hundred thirty-one million, four hundred forty-five thousand, two hundred".