144065376 has 288 divisors, whose sum is σ = 528353280. Its totient is φ = 36191232.

The previous prime is 144065333. The next prime is 144065377. The reversal of 144065376 is 673560441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144065376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144065377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602665 + ... + 602903.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^144065376 is an apocalyptic number.

144065376 is a gapful number since it is divisible by the number (16) 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 144065376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

144065376 is an abundant number, since it is smaller than the sum of its proper divisors (384287904).

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

144065376 is a wasteful number, since it uses less digits than its factorization.

144065376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 144065376 is about 12002.7236908962. The cubic root of 144065376 is about 524.2275879471.

It can be divided in two parts, 144065 and 376, that added together give a palindrome (144441).

The spelling of 144065376 in words is "one hundred forty-four million, sixty-five thousand, three hundred seventy-six".