36107136 has 96 divisors (see below), whose sum is σ = 111940920. Its totient is φ = 11105280.

The previous prime is 36107131. The next prime is 36107161. The reversal of 36107136 is 63170163.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36107131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13771 + ... + 16181.

Almost surely, 2^36107136 is an apocalyptic number.

36107136 is a gapful number since it is divisible by the number (36) 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 36107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55970460).

36107136 is an abundant number, since it is smaller than the sum of its proper divisors (75833784).

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

36107136 is a wasteful number, since it uses less digits than its factorization.

36107136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 36107136 is about 6008.9213674336. The cubic root of 36107136 is about 330.5199516779.

Adding to 36107136 its reverse (63170163), we get a palindrome (99277299).

The spelling of 36107136 in words is "thirty-six million, one hundred seven thousand, one hundred thirty-six".