36132144 has 80 divisors (see below), whose sum is σ = 97895520. Its totient is φ = 11468800.

The previous prime is 36132139. The next prime is 36132163. The reversal of 36132144 is 44123163.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140464 + ... + 140720.

It is an arithmetic number, because the mean of its divisors is an integer number (1223694).

Almost surely, 2^36132144 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 36132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48947760).

36132144 is an abundant number, since it is smaller than the sum of its proper divisors (61763376).

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

36132144 is a wasteful number, since it uses less digits than its factorization.

36132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

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

The square root of 36132144 is about 6011.0019131589. The cubic root of 36132144 is about 330.5962407104.

The spelling of 36132144 in words is "thirty-six million, one hundred thirty-two thousand, one hundred forty-four".