1135551040 has 112 divisors (see below), whose sum is σ = 3083521392. Its totient is φ = 394592256.

The previous prime is 1135551037. The next prime is 1135551071. The reversal of 1135551040 is 401555311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22127616 + 1113423424 = 4704^2 + 33368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1135550996 and 1135551014.

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, 62692 + ... + 78748.

It is an arithmetic number, because the mean of its divisors is an integer number (27531441).

Almost surely, 2^1135551040 is an apocalyptic number.

1135551040 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 1135551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541760696).

1135551040 is an abundant number, since it is smaller than the sum of its proper divisors (1947970352).

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

1135551040 is a wasteful number, since it uses less digits than its factorization.

1135551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16104 (or 16094 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 1135551040 is about 33697.9382158612. The cubic root of 1135551040 is about 1043.2832139386.

The spelling of 1135551040 in words is "one billion, one hundred thirty-five million, five hundred fifty-one thousand, forty".