144045520 has 60 divisors (see below), whose sum is σ = 341876556. Its totient is φ = 56442880.

The previous prime is 144045497. The next prime is 144045529. The reversal of 144045520 is 25540441.

It is a happy number.

144045520 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 6 ways, for example, as 21013056 + 123032464 = 4584^2 + 11092^2 .

It is a super-3 number, since 3×144045520³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144045529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224400 + ... + 225040.

Almost surely, 2^144045520 is an apocalyptic number.

144045520 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 144045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170938278).

144045520 is an abundant number, since it is smaller than the sum of its proper divisors (197831036).

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

144045520 is an equidigital number, since it uses as much as digits as its factorization.

144045520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 144045520 is about 12001.8965168010. The cubic root of 144045520 is about 524.2035027215.

Adding to 144045520 its reverse (25540441), we get a palindrome (169585961).

The spelling of 144045520 in words is "one hundred forty-four million, forty-five thousand, five hundred twenty".