144304432225152 has 64 divisors (see below), whose sum is σ = 383385979894800. Its totient is φ = 48091773026304.

The previous prime is 144304432225141. The next prime is 144304432225201. The reversal of 144304432225152 is 251522234403441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36001777 + ... + 39808752.

Almost surely, 2^{144304432225152} is an apocalyptic number.

144304432225152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144304432225152 is an abundant number, since it is smaller than the sum of its proper divisors (239081547669648).

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

144304432225152 is an equidigital number, since it uses as much as digits as its factorization.

144304432225152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75815503 (or 75815491 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 144304432225152 its reverse (251522234403441), we get a palindrome (395826666628593).

The spelling of 144304432225152 in words is "one hundred forty-four trillion, three hundred four billion, four hundred thirty-two million, two hundred twenty-five thousand, one hundred fifty-two".