1133130240 has 480 divisors, whose sum is σ = 4550173056. Its totient is φ = 257556480.

The previous prime is 1133130203. The next prime is 1133130241. The reversal of 1133130240 is 420313311.

1133130240 is a `hidden beast` number, since 113 + 313 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133130241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4308349 + ... + 4308611.

Almost surely, 2^1133130240 is an apocalyptic number.

1133130240 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 1133130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275086528).

1133130240 is an abundant number, since it is smaller than the sum of its proper divisors (3417042816).

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

1133130240 is a wasteful number, since it uses less digits than its factorization.

1133130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1133130240 is about 33661.9999405858. Note that the first 4 decimals coincide. The cubic root of 1133130240 is about 1042.5413195499.

Adding to 1133130240 its reverse (420313311), we get a palindrome (1553443551).

The spelling of 1133130240 in words is "one billion, one hundred thirty-three million, one hundred thirty thousand, two hundred forty".