1135322240 has 128 divisors (see below), whose sum is σ = 2972153520. Its totient is φ = 412139520.

The previous prime is 1135322233. The next prime is 1135322281. The reversal of 1135322240 is 422235311.

It can be written as a sum of positive squares in 8 ways, for example, as 152374336 + 982947904 = 12344^2 + 31352^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506402 + ... + 508638.

Almost surely, 2^1135322240 is an apocalyptic number.

1135322240 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 1135322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486076760).

1135322240 is an abundant number, since it is smaller than the sum of its proper divisors (1836831280).

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

1135322240 is a wasteful number, since it uses less digits than its factorization.

1135322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1135322240 is about 33694.5431783842. The cubic root of 1135322240 is about 1043.2131395211.

Adding to 1135322240 its reverse (422235311), we get a palindrome (1557557551).

The spelling of 1135322240 in words is "one billion, one hundred thirty-five million, three hundred twenty-two thousand, two hundred forty".