144221400 has 144 divisors (see below), whose sum is σ = 509956200. Its totient is φ = 36426240.

The previous prime is 144221383. The next prime is 144221401. The reversal of 144221400 is 4122441.

144221400 is a `hidden beast` number, since 1 + 44 + 221 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144221401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 32092 + ... + 36308.

Almost surely, 2^144221400 is an apocalyptic number.

144221400 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 144221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254978100).

144221400 is an abundant number, since it is smaller than the sum of its proper divisors (365734800).

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

144221400 is a wasteful number, since it uses less digits than its factorization.

144221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144221400 is about 12009.2214568639. The cubic root of 144221400 is about 524.4167672813.

Adding to 144221400 its reverse (4122441), we get a palindrome (148343841).

The spelling of 144221400 in words is "one hundred forty-four million, two hundred twenty-one thousand, four hundred".