144686220 has 144 divisors (see below), whose sum is σ = 487801440. Its totient is φ = 31911936.

The previous prime is 144686203. The next prime is 144686281. The reversal of 144686220 is 22686441.

It is a super-3 number, since 3×144686220³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84412 + ... + 86108.

It is an arithmetic number, because the mean of its divisors is an integer number (3387510).

Almost surely, 2^144686220 is an apocalyptic number.

144686220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144686220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243900720).

144686220 is an abundant number, since it is smaller than the sum of its proper divisors (343115220).

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

144686220 is a wasteful number, since it uses less digits than its factorization.

144686220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 144686220 is about 12028.5585171291. The cubic root of 144686220 is about 524.9795547594.

The spelling of 144686220 in words is "one hundred forty-four million, six hundred eighty-six thousand, two hundred twenty".