1135132560 has 120 divisors (see below), whose sum is σ = 3905234424. Its totient is φ = 295311360.

The previous prime is 1135132541. The next prime is 1135132571. The reversal of 1135132560 is 652315311.

It can be written as a sum of positive squares in 4 ways, for example, as 2944656 + 1132187904 = 1716^2 + 33648^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10294 + ... + 48746.

Almost surely, 2^1135132560 is an apocalyptic number.

1135132560 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 1135132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952617212).

1135132560 is an abundant number, since it is smaller than the sum of its proper divisors (2770101864).

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

1135132560 is a wasteful number, since it uses less digits than its factorization.

1135132560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38513 (or 38504 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1135132560 is about 33691.7283617211. The cubic root of 1135132560 is about 1043.1550392208.

Adding to 1135132560 its reverse (652315311), we get a palindrome (1787447871).

The spelling of 1135132560 in words is "one billion, one hundred thirty-five million, one hundred thirty-two thousand, five hundred sixty".