1075133164 has 48 divisors (see below), whose sum is σ = 2301868800. Its totient is φ = 429109056.

The previous prime is 1075133099. The next prime is 1075133179. The reversal of 1075133164 is 4613315701.

It is a super-2 number, since 2×1075133164² = 2311822640665301792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14262 + ... + 48514.

It is an arithmetic number, because the mean of its divisors is an integer number (47955600).

Almost surely, 2^1075133164 is an apocalyptic number.

1075133164 is a gapful number since it is divisible by the number (14) 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 1075133164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150934400).

1075133164 is an abundant number, since it is smaller than the sum of its proper divisors (1226735636).

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

1075133164 is a wasteful number, since it uses less digits than its factorization.

1075133164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34342 (or 34340 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 1075133164 is about 32789.2232905874. The cubic root of 1075133164 is about 1024.4421041719.

Adding to 1075133164 its reverse (4613315701), we get a palindrome (5688448865).

The spelling of 1075133164 in words is "one billion, seventy-five million, one hundred thirty-three thousand, one hundred sixty-four".