1134733824 has 240 divisors, whose sum is σ = 3785852928. Its totient is φ = 320495616.

The previous prime is 1134733807. The next prime is 1134733829. The reversal of 1134733824 is 4283374311.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1134733829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4096374 + ... + 4096650.

Almost surely, 2^1134733824 is an apocalyptic number.

1134733824 is a gapful number since it is divisible by the number (14) 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 1134733824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892926464).

1134733824 is an abundant number, since it is smaller than the sum of its proper divisors (2651119104).

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

1134733824 is a wasteful number, since it uses less digits than its factorization.

1134733824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 416 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 1134733824 is about 33685.8104251627. The cubic root of 1134733824 is about 1043.0328825100.

The spelling of 1134733824 in words is "one billion, one hundred thirty-four million, seven hundred thirty-three thousand, eight hundred twenty-four".