144219636 has 192 divisors, whose sum is σ = 445858560. Its totient is φ = 39813120.

The previous prime is 144219631. The next prime is 144219727. The reversal of 144219636 is 636912441.

144219636 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 19 + 636 = 666.

144219636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

144219636 is a nontrivial binomial coefficient, being equal to C(16984, 2).

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 self number, because there is not a number n which added to its sum of digits gives 144219636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144219631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 747156 + ... + 747348.

It is an arithmetic number, because the mean of its divisors is an integer number (2322180).

Almost surely, 2^144219636 is an apocalyptic number.

144219636 is the 16983-rd triangular number and also the 8492-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144219636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222929280).

144219636 is an abundant number, since it is smaller than the sum of its proper divisors (301638924).

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

144219636 is a wasteful number, since it uses less digits than its factorization.

144219636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 144219636 is about 12009.1480130774. The cubic root of 144219636 is about 524.4146291915.

The spelling of 144219636 in words is "one hundred forty-four million, two hundred nineteen thousand, six hundred thirty-six".