36600144 has 40 divisors (see below), whose sum is σ = 108058560. Its totient is φ = 10457088.

The previous prime is 36600131. The next prime is 36600149. The reversal of 36600144 is 44100663.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36600149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54129 + ... + 54800.

It is an arithmetic number, because the mean of its divisors is an integer number (2701464).

Almost surely, 2^36600144 is an apocalyptic number.

It is an amenable number.

36600144 is an abundant number, since it is smaller than the sum of its proper divisors (71458416).

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

36600144 is a wasteful number, since it uses less digits than its factorization.

36600144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108947 (or 108941 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 36600144 is about 6049.8052861229. The cubic root of 36600144 is about 332.0174665413.

The spelling of 36600144 in words is "thirty-six million, six hundred thousand, one hundred forty-four".