1133134400 has 84 divisors (see below), whose sum is σ = 2884482420. Its totient is φ = 437606400.

The previous prime is 1133134381. The next prime is 1133134403. The reversal of 1133134400 is 44313311.

It can be written as a sum of positive squares in 6 ways, for example, as 277688896 + 855445504 = 16664^2 + 29248^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1133134403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34190 + ... + 58610.

Almost surely, 2^1133134400 is an apocalyptic number.

1133134400 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 1133134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442241210).

1133134400 is an abundant number, since it is smaller than the sum of its proper divisors (1751348020).

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

1133134400 is a wasteful number, since it uses less digits than its factorization.

1133134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24472 (or 24457 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1133134400 is about 33662.0617312725. The cubic root of 1133134400 is about 1042.5425953570.

Adding to 1133134400 its reverse (44313311), we get a palindrome (1177447711).

The spelling of 1133134400 in words is "one billion, one hundred thirty-three million, one hundred thirty-four thousand, four hundred".