36053136 has 120 divisors (see below), whose sum is σ = 117921024. Its totient is φ = 10068480.

The previous prime is 36053113. The next prime is 36053137. The reversal of 36053136 is 63135063.

It is not an unprimeable number, because it can be changed into a prime (36053137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46996 + ... + 47756.

Almost surely, 2^36053136 is an apocalyptic number.

36053136 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 36053136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58960512).

36053136 is an abundant number, since it is smaller than the sum of its proper divisors (81867888).

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

36053136 is a wasteful number, since it uses less digits than its factorization.

36053136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 36053136 is about 6004.4263672727. The cubic root of 36053136 is about 330.3550998478.

Adding to 36053136 its reverse (63135063), we get a palindrome (99188199).

The spelling of 36053136 in words is "thirty-six million, fifty-three thousand, one hundred thirty-six".