1155135040 has 168 divisors, whose sum is σ = 3011238072. Its totient is φ = 420495360.

The previous prime is 1155135017. The next prime is 1155135067. The reversal of 1155135040 is 405315511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32080896 + 1123054144 = 5664^2 + 33512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1155134996 and 1155135014.

It is a congruent number.

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, 18936610 + ... + 18936670.

Almost surely, 2^1155135040 is an apocalyptic number.

1155135040 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 1155135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505619036).

1155135040 is an abundant number, since it is smaller than the sum of its proper divisors (1856103032).

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

1155135040 is an equidigital number, since it uses as much as digits as its factorization.

1155135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 144 counting only the distinct ones).

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

The square root of 1155135040 is about 33987.2776197212. The cubic root of 1155135040 is about 1049.2466372269.

The spelling of 1155135040 in words is "one billion, one hundred fifty-five million, one hundred thirty-five thousand, forty".