144525313240420 has 216 divisors, whose sum is σ = 357947737875000. Its totient is φ = 48873208624128.

The previous prime is 144525313240417. The next prime is 144525313240439. The reversal of 144525313240420 is 24042313525441.

It can be written as a sum of positive squares in 4 ways, for example, as 80031917955136 + 64493395285284 = 8946056^2 + 8030778^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2569356456 + ... + 2569412704.

It is an arithmetic number, because the mean of its divisors is an integer number (1657165453125).

Almost surely, 2^{144525313240420} is an apocalyptic number.

144525313240420 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 144525313240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178973868937500).

144525313240420 is an abundant number, since it is smaller than the sum of its proper divisors (213422424634580).

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

144525313240420 is a wasteful number, since it uses less digits than its factorization.

144525313240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56715 (or 56599 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 144525313240420 its reverse (24042313525441), we get a palindrome (168567626765861).

The spelling of 144525313240420 in words is "one hundred forty-four trillion, five hundred twenty-five billion, three hundred thirteen million, two hundred forty thousand, four hundred twenty".