144144520 has 64 divisors (see below), whose sum is σ = 357845040. Its totient is φ = 51916800.

The previous prime is 144144509. The next prime is 144144521. The reversal of 144144520 is 25441441.

It can be written as a sum of positive squares in 8 ways, for example, as 21511044 + 122633476 = 4638^2 + 11074^2 .

It is not an unprimeable number, because it can be changed into a prime (144144521) 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, 17940 + ... + 24700.

Almost surely, 2^144144520 is an apocalyptic number.

144144520 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 144144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178922520).

144144520 is an abundant number, since it is smaller than the sum of its proper divisors (213700520).

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

144144520 is a wasteful number, since it uses less digits than its factorization.

144144520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 144144520 is about 12006.0201565715. The cubic root of 144144520 is about 524.3235672266.

Adding to 144144520 its reverse (25441441), we get a palindrome (169585961).

The spelling of 144144520 in words is "one hundred forty-four million, one hundred forty-four thousand, five hundred twenty".