144242300 has 72 divisors (see below), whose sum is σ = 333572400. Its totient is φ = 53982720.

The previous prime is 144242299. The next prime is 144242303. The reversal of 144242300 is 3242441.

It is a super-2 number, since 2×144242300² = 41611682218580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144242303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168674 + ... + 169526.

It is an arithmetic number, because the mean of its divisors is an integer number (4632950).

Almost surely, 2^144242300 is an apocalyptic number.

144242300 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 144242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166786200).

144242300 is an abundant number, since it is smaller than the sum of its proper divisors (189330100).

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

144242300 is a wasteful number, since it uses less digits than its factorization.

144242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 144242300 is about 12010.0915899921. The cubic root of 144242300 is about 524.4420981986.

Adding to 144242300 its reverse (3242441), we get a palindrome (147484741).

The spelling of 144242300 in words is "one hundred forty-four million, two hundred forty-two thousand, three hundred".