144301000 has 64 divisors (see below), whose sum is σ = 340919280. Its totient is φ = 57164800.

The previous prime is 144300997. The next prime is 144301007. The reversal of 144301000 is 103441.

144301000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 636804 + 143664196 = 798^2 + 11986^2 .

It is not an unprimeable number, because it can be changed into a prime (144301007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112362 + ... + 113638.

Almost surely, 2^144301000 is an apocalyptic number.

144301000 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 144301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170459640).

144301000 is an abundant number, since it is smaller than the sum of its proper divisors (196618280).

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

144301000 is a wasteful number, since it uses less digits than its factorization.

144301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 144301000 is about 12012.5351196157. The cubic root of 144301000 is about 524.5132298433.

Adding to 144301000 its reverse (103441), we get a palindrome (144404441).

The spelling of 144301000 in words is "one hundred forty-four million, three hundred one thousand".