36135322112 has 90 divisors (see below), whose sum is σ = 74880540207. Its totient is φ = 17420313600.

The previous prime is 36135322063. The next prime is 36135322163. The reversal of 36135322112 is 21122353163.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 18067661056 + 18067661056 = 134416^2 + 134416^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=134416.

It is a super-2 number, since 2×36135322112² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133340537 + ... + 133340807.

Almost surely, 2^36135322112 is an apocalyptic number.

36135322112 is a gapful number since it is divisible by the number (32) 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 36135322112

36135322112 is an abundant number, since it is smaller than the sum of its proper divisors (38745218095).

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

36135322112 is an frugal number, since it uses more digits than its factorization.

36135322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 304 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

Adding to 36135322112 its reverse (21122353163), we get a palindrome (57257675275).

The spelling of 36135322112 in words is "thirty-six billion, one hundred thirty-five million, three hundred twenty-two thousand, one hundred twelve".