144755752960 has 768 divisors, whose sum is σ = 464396738400. Its totient is φ = 42807066624.

The previous prime is 144755752909. The next prime is 144755752969. The reversal of 144755752960 is 69257557441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144755752969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1982955484 + ... + 1982955556.

Almost surely, 2^144755752960 is an apocalyptic number.

144755752960 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 144755752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232198369200).

144755752960 is an abundant number, since it is smaller than the sum of its proper divisors (319640985440).

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

144755752960 is an equidigital number, since it uses as much as digits as its factorization.

144755752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 55.

The spelling of 144755752960 in words is "one hundred forty-four billion, seven hundred fifty-five million, seven hundred fifty-two thousand, nine hundred sixty".