1131135040 has 112 divisors (see below), whose sum is σ = 3091110912. Its totient is φ = 386205696.

The previous prime is 1131135013. The next prime is 1131135059. The reversal of 1131135040 is 405311311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1131134999 and 1131135017.

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 15 ways as a sum of consecutive naturals, for example, 619569 + ... + 621391.

Almost surely, 2^1131135040 is an apocalyptic number.

1131135040 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 1131135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545555456).

1131135040 is an abundant number, since it is smaller than the sum of its proper divisors (1959975872).

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

1131135040 is a wasteful number, since it uses less digits than its factorization.

1131135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1131135040 is about 33632.3510923634. The cubic root of 1131135040 is about 1041.9290626293.

Adding to 1131135040 its reverse (405311311), we get a palindrome (1536446351).

The spelling of 1131135040 in words is "one billion, one hundred thirty-one million, one hundred thirty-five thousand, forty".