144245412331520 has 84 divisors (see below), whose sum is σ = 346188837102780. Its totient is φ = 57698162835456.

The previous prime is 144245412331519. The next prime is 144245412331529. The reversal of 144245412331520 is 25133214542441.

It can be written as a sum of positive squares in 2 ways, for example, as 50386828263424 + 93858584068096 = 7098368^2 + 9688064^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (144245412331529) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8513435 + ... + 18999194.

It is an arithmetic number, because the mean of its divisors is an integer number (4121295679795).

Almost surely, 2^{144245412331520} is an apocalyptic number.

144245412331520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144245412331520 is an abundant number, since it is smaller than the sum of its proper divisors (201943424771260).

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

144245412331520 is an frugal number, since it uses more digits than its factorization.

144245412331520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27512674 (or 27512636 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

Adding to 144245412331520 its reverse (25133214542441), we get a palindrome (169378626873961).

The spelling of 144245412331520 in words is "one hundred forty-four trillion, two hundred forty-five billion, four hundred twelve million, three hundred thirty-one thousand, five hundred twenty".