144531324 has 96 divisors (see below), whose sum is σ = 439900160. Its totient is φ = 40170816.

The previous prime is 144531307. The next prime is 144531329. The reversal of 144531324 is 423135441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144531329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25389 + ... + 30555.

Almost surely, 2^144531324 is an apocalyptic number.

144531324 is a gapful number since it is divisible by the number (14) 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 144531324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219950080).

144531324 is an abundant number, since it is smaller than the sum of its proper divisors (295368836).

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

144531324 is a wasteful number, since it uses less digits than its factorization.

144531324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224 (or 5216 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 144531324 is about 12022.1181162056. The cubic root of 144531324 is about 524.7921462905.

Adding to 144531324 its reverse (423135441), we get a palindrome (567666765).

The spelling of 144531324 in words is "one hundred forty-four million, five hundred thirty-one thousand, three hundred twenty-four".