1135080900 has 216 divisors, whose sum is σ = 3838816800. Its totient is φ = 279590400.

The previous prime is 1135080899. The next prime is 1135080907. The reversal of 1135080900 is 90805311.

It is not an unprimeable number, because it can be changed into a prime (1135080907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 700291 + ... + 701909.

It is an arithmetic number, because the mean of its divisors is an integer number (17772300).

Almost surely, 2^1135080900 is an apocalyptic number.

1135080900 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 1135080900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919408400).

1135080900 is an abundant number, since it is smaller than the sum of its proper divisors (2703735900).

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

1135080900 is a wasteful number, since it uses less digits than its factorization.

1135080900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1135080900 is about 33690.9616959801. The cubic root of 1135080900 is about 1043.1392142829.

The spelling of 1135080900 in words is "one billion, one hundred thirty-five million, eighty thousand, nine hundred".