144315432 has 120 divisors (see below), whose sum is σ = 423559290. Its totient is φ = 45904320.

The previous prime is 144315421. The next prime is 144315433. The reversal of 144315432 is 234513441.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 144144036 + 171396 = 12006^2 + 414^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 144315396 and 144315405.

It is not an unprimeable number, because it can be changed into a prime (144315433) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 342582 + ... + 343002.

Almost surely, 2^144315432 is an apocalyptic number.

144315432 is a gapful number since it is divisible by the number (12) 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 144315432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211779645).

144315432 is an abundant number, since it is smaller than the sum of its proper divisors (279243858).

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

144315432 is a wasteful number, since it uses less digits than its factorization.

144315432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 449 counting only the distinct ones).

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

The square root of 144315432 is about 12013.1358104368. The cubic root of 144315432 is about 524.5307153368.

Adding to 144315432 its reverse (234513441), we get a palindrome (378828873).

The spelling of 144315432 in words is "one hundred forty-four million, three hundred fifteen thousand, four hundred thirty-two".