36540144 has 30 divisors (see below), whose sum is σ = 102262056. Its totient is φ = 12180000.

The previous prime is 36540139. The next prime is 36540149. The reversal of 36540144 is 44104563.

36540144 is a `hidden beast` number, since 3 + 654 + 0 + 1 + 4 + 4 = 666.

36540144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36540139) and next prime (36540149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36540149) 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 5 ways as a sum of consecutive naturals, for example, 126732 + ... + 127019.

Almost surely, 2^36540144 is an apocalyptic number.

It is an amenable number.

36540144 is an abundant number, since it is smaller than the sum of its proper divisors (65721912).

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

36540144 is a wasteful number, since it uses less digits than its factorization.

36540144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253765 (or 253756 counting only the distinct ones).

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

The square root of 36540144 is about 6044.8444148712. The cubic root of 36540144 is about 331.8359377136.

The spelling of 36540144 in words is "thirty-six million, five hundred forty thousand, one hundred forty-four".