1135540224 has 288 divisors, whose sum is σ = 4042452960. Its totient is φ = 299040768.

The previous prime is 1135540207. The next prime is 1135540229. The reversal of 1135540224 is 4220455311.

1135540224 is a `hidden beast` number, since 113 + 5 + 540 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135540229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1676974 + ... + 1677650.

It is an arithmetic number, because the mean of its divisors is an integer number (14036295).

Almost surely, 2^1135540224 is an apocalyptic number.

1135540224 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 1135540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021226480).

1135540224 is an abundant number, since it is smaller than the sum of its proper divisors (2906912736).

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

1135540224 is a wasteful number, since it uses less digits than its factorization.

1135540224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1135540224 is about 33697.7777308831. Note that the first 4 decimals coincide. The cubic root of 1135540224 is about 1043.2799015418.

Adding to 1135540224 its reverse (4220455311), we get a palindrome (5355995535).

The spelling of 1135540224 in words is "one billion, one hundred thirty-five million, five hundred forty thousand, two hundred twenty-four".