36531144 has 96 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 10869120.

The previous prime is 36531127. The next prime is 36531149. The reversal of 36531144 is 44113563.

36531144 is a `hidden beast` number, since 3 + 653 + 1 + 1 + 4 + 4 = 666.

36531144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (36531149) 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 23 ways as a sum of consecutive naturals, for example, 28387 + ... + 29645.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^36531144 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 36531144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

36531144 is an abundant number, since it is smaller than the sum of its proper divisors (73542456).

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

36531144 is a wasteful number, since it uses less digits than its factorization.

36531144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1308 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 36531144 is about 6044.0999329925. The cubic root of 36531144 is about 331.8086912541.

The spelling of 36531144 in words is "thirty-six million, five hundred thirty-one thousand, one hundred forty-four".