1134324000 has 336 divisors, whose sum is σ = 4189381560. Its totient is φ = 301708800.

The previous prime is 1134323989. The next prime is 1134324017. The reversal of 1134324000 is 4234311.

It can be written as a sum of positive squares in 4 ways, for example, as 200165904 + 934158096 = 14148^2 + 30564^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2915806 + ... + 2916194.

Almost surely, 2^1134324000 is an apocalyptic number.

1134324000 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 1134324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094690780).

1134324000 is an abundant number, since it is smaller than the sum of its proper divisors (3055057560).

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

1134324000 is an frugal number, since it uses more digits than its factorization.

1134324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1134324000 is about 33679.7268397474. The cubic root of 1134324000 is about 1042.9072990559.

Adding to 1134324000 its reverse (4234311), we get a palindrome (1138558311).

The spelling of 1134324000 in words is "one billion, one hundred thirty-four million, three hundred twenty-four thousand".