1135746304 has 108 divisors (see below), whose sum is σ = 2877281568. Its totient is φ = 442444800.

The previous prime is 1135746281. The next prime is 1135746329. The reversal of 1135746304 is 4036475311.

It is a self number, because there is not a number n which added to its sum of digits gives 1135746304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133869 + ... + 142099.

It is an arithmetic number, because the mean of its divisors is an integer number (26641496).

Almost surely, 2^1135746304 is an apocalyptic number.

1135746304 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 1135746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438640784).

1135746304 is an abundant number, since it is smaller than the sum of its proper divisors (1741535264).

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

1135746304 is an equidigital number, since it uses as much as digits as its factorization.

1135746304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 1135746304 is about 33700.8353605664. The cubic root of 1135746304 is about 1043.3430098646.

The spelling of 1135746304 in words is "one billion, one hundred thirty-five million, seven hundred forty-six thousand, three hundred four".