144333420 has 144 divisors (see below), whose sum is σ = 512967168. Its totient is φ = 29984640.

The previous prime is 144333419. The next prime is 144333457. The reversal of 144333420 is 24333441.

It is a super-2 number, since 2×144333420² = 41664272257792800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30109 + ... + 34571.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^144333420 is an apocalyptic number.

144333420 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 144333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256483584).

144333420 is an abundant number, since it is smaller than the sum of its proper divisors (368633748).

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

144333420 is a wasteful number, since it uses less digits than its factorization.

144333420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 144333420 is about 12013.8844675650. The cubic root of 144333420 is about 524.5525075697.

Adding to 144333420 its reverse (24333441), we get a palindrome (168666861).

The spelling of 144333420 in words is "one hundred forty-four million, three hundred thirty-three thousand, four hundred twenty".