144810432 has 168 divisors, whose sum is σ = 454328784. Its totient is φ = 43831296.

The previous prime is 144810377. The next prime is 144810451. The reversal of 144810432 is 234018441.

It is a super-2 number, since 2×144810432² = 41940122432053248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144810396 and 144810405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621388 + ... + 621620.

It is an arithmetic number, because the mean of its divisors is an integer number (2704338).

Almost surely, 2^144810432 is an apocalyptic number.

144810432 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 144810432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227164392).

144810432 is an abundant number, since it is smaller than the sum of its proper divisors (309518352).

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

144810432 is a wasteful number, since it uses less digits than its factorization.

144810432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 144810432 is about 12033.7206216531. The cubic root of 144810432 is about 525.1297420841.

Adding to 144810432 its reverse (234018441), we get a palindrome (378828873).

The spelling of 144810432 in words is "one hundred forty-four million, eight hundred ten thousand, four hundred thirty-two".