1145117736 has 160 divisors (see below), whose sum is σ = 3765210240. Its totient is φ = 318287232.

The previous prime is 1145117731. The next prime is 1145117761. The reversal of 1145117736 is 6377115411.

It is a happy number.

1145117736 is a `hidden beast` number, since 1 + 1 + 451 + 177 + 36 = 666.

It is a super-2 number, since 2×1145117736² = 2622589258603531392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1145117736.

It is not an unprimeable number, because it can be changed into a prime (1145117731) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164421 + ... + 171243.

It is an arithmetic number, because the mean of its divisors is an integer number (23532564).

Almost surely, 2^1145117736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145117736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882605120).

1145117736 is an abundant number, since it is smaller than the sum of its proper divisors (2620092504).

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

1145117736 is a wasteful number, since it uses less digits than its factorization.

1145117736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885 (or 6872 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 1145117736 is about 33839.5882953679. The cubic root of 1145117736 is about 1046.2048132487.

The spelling of 1145117736 in words is "one billion, one hundred forty-five million, one hundred seventeen thousand, seven hundred thirty-six".