36333144 has 64 divisors (see below), whose sum is σ = 102672000. Its totient is φ = 11901600.

The previous prime is 36333137. The next prime is 36333161. The reversal of 36333144 is 44133363.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

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, 11319 + ... + 14169.

It is an arithmetic number, because the mean of its divisors is an integer number (1604250).

Almost surely, 2^36333144 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 36333144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51336000).

36333144 is an abundant number, since it is smaller than the sum of its proper divisors (66338856).

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

36333144 is a wasteful number, since it uses less digits than its factorization.

36333144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2915 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 36333144 is about 6027.6980680854. The cubic root of 36333144 is about 331.2081335957.

The spelling of 36333144 in words is "thirty-six million, three hundred thirty-three thousand, one hundred forty-four".