36137712 has 80 divisors (see below), whose sum is σ = 104055840. Its totient is φ = 10730496.

The previous prime is 36137693. The next prime is 36137737. The reversal of 36137712 is 21773163.

36137712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36137712.

It is a congruent number.

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, 17098 + ... + 19094.

It is an arithmetic number, because the mean of its divisors is an integer number (1300698).

Almost surely, 2^36137712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36137712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52027920).

36137712 is an abundant number, since it is smaller than the sum of its proper divisors (67918128).

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

36137712 is a wasteful number, since it uses less digits than its factorization.

36137712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2044 counting only the distinct ones).

The product of its digits is 5292, while the sum is 30.

The square root of 36137712 is about 6011.4650460599. The cubic root of 36137712 is about 330.6132215767.

It can be divided in two parts, 3613 and 7712, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 36137712 in words is "thirty-six million, one hundred thirty-seven thousand, seven hundred twelve".