36135834 has 48 divisors (see below), whose sum is σ = 88509600. Its totient is φ = 9779616.

The previous prime is 36135833. The next prime is 36135857. The reversal of 36135834 is 43853163.

36135834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36135795 and 36135804.

It is not an unprimeable number, because it can be changed into a prime (36135833) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2352 + ... + 8820.

It is an arithmetic number, because the mean of its divisors is an integer number (1843950).

Almost surely, 2^36135834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36135834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44254800).

36135834 is an abundant number, since it is smaller than the sum of its proper divisors (52373766).

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

36135834 is a wasteful number, since it uses less digits than its factorization.

36135834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6507 (or 6500 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 36135834 is about 6011.3088425068. The cubic root of 36135834 is about 330.6074943889.

Adding to 36135834 its reverse (43853163), we get a palindrome (79988997).

The spelling of 36135834 in words is "thirty-six million, one hundred thirty-five thousand, eight hundred thirty-four".