1065133160 has 128 divisors (see below), whose sum is σ = 3105043200. Its totient is φ = 319334400.

The previous prime is 1065133093. The next prime is 1065133193. The reversal of 1065133160 is 613315601.

1065133160 = T₃₇₉ + T₃₈₀ + ... + T₁₈₆₀.

It is a super-3 number, since 3×1065133160³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61460 + ... + 76860.

It is an arithmetic number, because the mean of its divisors is an integer number (24258150).

Almost surely, 2^1065133160 is an apocalyptic number.

1065133160 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 1065133160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552521600).

1065133160 is an abundant number, since it is smaller than the sum of its proper divisors (2039910040).

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

1065133160 is a wasteful number, since it uses less digits than its factorization.

1065133160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15451 (or 15447 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 1065133160 is about 32636.3778627470. The cubic root of 1065133160 is about 1021.2560330975.

Adding to 1065133160 its reverse (613315601), we get a palindrome (1678448761).

The spelling of 1065133160 in words is "one billion, sixty-five million, one hundred thirty-three thousand, one hundred sixty".