36123144 has 16 divisors (see below), whose sum is σ = 90307920. Its totient is φ = 12041040.

The previous prime is 36123127. The next prime is 36123151. The reversal of 36123144 is 44132163.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1505131 = 36123144 / (3 + 6 + 1 + 2 + 3 + 1 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 752542 + ... + 752589.

It is an arithmetic number, because the mean of its divisors is an integer number (5644245).

Almost surely, 2^36123144 is an apocalyptic number.

It is an amenable number.

36123144 is an abundant number, since it is smaller than the sum of its proper divisors (54184776).

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

36123144 is a wasteful number, since it uses less digits than its factorization.

36123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505140 (or 1505136 counting only the distinct ones).

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

The square root of 36123144 is about 6010.2532392571. The cubic root of 36123144 is about 330.5687895002.

The spelling of 36123144 in words is "thirty-six million, one hundred twenty-three thousand, one hundred forty-four".