144144520000 has 280 divisors, whose sum is σ = 394373066472. Its totient is φ = 51916800000.

The previous prime is 144144519979. The next prime is 144144520031. The reversal of 144144520000 is 25441441.

It can be written as a sum of positive squares in 20 ways, for example, as 137943902464 + 6200617536 = 371408^2 + 78744^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21316620 + ... + 21323380.

Almost surely, 2^144144520000 is an apocalyptic number.

144144520000 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 144144520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197186533236).

144144520000 is an abundant number, since it is smaller than the sum of its proper divisors (250228546472).

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

144144520000 is an equidigital number, since it uses as much as digits as its factorization.

144144520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6847 (or 6822 counting only the distinct ones).

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

Adding to 144144520000 its reverse (25441441), we get a palindrome (144169961441).

The spelling of 144144520000 in words is "one hundred forty-four billion, one hundred forty-four million, five hundred twenty thousand".