1166265135 has 112 divisors (see below), whose sum is σ = 2456154624. Its totient is φ = 520261056.

The previous prime is 1166265109. The next prime is 1166265137. The reversal of 1166265135 is 5315626611.

1166265135 is a `hidden beast` number, since 1 + 16 + 626 + 5 + 13 + 5 = 666.

It is not a de Polignac number, because 1166265135 - 2⁷ = 1166265007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1166265135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166265137) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1096614 + ... + 1097676.

It is an arithmetic number, because the mean of its divisors is an integer number (21929952).

Almost surely, 2^1166265135 is an apocalyptic number.

1166265135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1166265135 is an abundant number, since it is smaller than the sum of its proper divisors (1289889489).

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

1166265135 is an equidigital number, since it uses as much as digits as its factorization.

1166265135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1121 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 1166265135 is about 34150.6242256273. The cubic root of 1166265135 is about 1052.6058134467.

It can be divided in two parts, 1166265 and 135, that added together give a square (1166400 = 1080²).

The spelling of 1166265135 in words is "one billion, one hundred sixty-six million, two hundred sixty-five thousand, one hundred thirty-five".