36144045 has 24 divisors (see below), whose sum is σ = 71600256. Its totient is φ = 16522848.

The previous prime is 36144011. The next prime is 36144107. The reversal of 36144045 is 54044163.

36144045 is a `hidden beast` number, since 3 + 614 + 4 + 0 + 45 = 666.

36144045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36144045 - 2⁶ = 36143981 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 57057 + ... + 57686.

It is an arithmetic number, because the mean of its divisors is an integer number (2983344).

Almost surely, 2^36144045 is an apocalyptic number.

36144045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36144045 is a deficient number, since it is larger than the sum of its proper divisors (35456211).

36144045 is a wasteful number, since it uses less digits than its factorization.

36144045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114761 (or 114758 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 36144045 is about 6011.9917664614. The cubic root of 36144045 is about 330.6325333623.

The spelling of 36144045 in words is "thirty-six million, one hundred forty-four thousand, forty-five".