1132133587200 has 864 divisors, whose sum is σ = 5175855390720. Its totient is φ = 235245772800.

The previous prime is 1132133587163. The next prime is 1132133587241. The reversal of 1132133587200 is 27853312311.

It is a happy number.

1132133587200 is a `hidden beast` number, since 1 + 1 + 3 + 21 + 33 + 587 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13263057 + ... + 13348143.

Almost surely, 2^{1132133587200} is an apocalyptic number.

1132133587200 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 1132133587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587927695360).

1132133587200 is an abundant number, since it is smaller than the sum of its proper divisors (4043721803520).

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

1132133587200 is a wasteful number, since it uses less digits than its factorization.

1132133587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85140 (or 85115 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 1132133587200 its reverse (27853312311), we get a palindrome (1159986899511).

The spelling of 1132133587200 in words is "one trillion, one hundred thirty-two billion, one hundred thirty-three million, five hundred eighty-seven thousand, two hundred".