144201024 has 126 divisors (see below), whose sum is σ = 454536810. Its totient is φ = 43676160.

The previous prime is 144201023. The next prime is 144201041. The reversal of 144201024 is 420102441.

It can be written as a sum of positive squares in only one way, i.e., 100641024 + 43560000 = 10032^2 + 6600^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144200988 and 144201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144201023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68662 + ... + 70730.

It is an arithmetic number, because the mean of its divisors is an integer number (3607435).

Almost surely, 2^144201024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227268405).

144201024 is an abundant number, since it is smaller than the sum of its proper divisors (310335786).

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

144201024 is a wasteful number, since it uses less digits than its factorization.

144201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144201024 is about 12008.3730788146. The cubic root of 144201024 is about 524.3920690990.

Adding to 144201024 its reverse (420102441), we get a palindrome (564303465).

The spelling of 144201024 in words is "one hundred forty-four million, two hundred one thousand, twenty-four".