36198144 has 72 divisors (see below), whose sum is σ = 107064720. Its totient is φ = 12063744.

The previous prime is 36198133. The next prime is 36198161. The reversal of 36198144 is 44189163.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 36198099 and 36198108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4294 + ... + 9530.

It is an arithmetic number, because the mean of its divisors is an integer number (1487010).

Almost surely, 2^36198144 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 36198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53532360).

36198144 is an abundant number, since it is smaller than the sum of its proper divisors (70866576).

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

36198144 is an equidigital number, since it uses as much as digits as its factorization.

36198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262 (or 5242 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 36198144 is about 6016.4893418006. The cubic root of 36198144 is about 330.7974104322.

The spelling of 36198144 in words is "thirty-six million, one hundred ninety-eight thousand, one hundred forty-four".