144920240736 has 48 divisors (see below), whose sum is σ = 396955448064. Its totient is φ = 46206452864.

The previous prime is 144920240723. The next prime is 144920240747. The reversal of 144920240736 is 637042029441.

144920240736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32814876 + ... + 32819291.

It is an arithmetic number, because the mean of its divisors is an integer number (8269905168).

Almost surely, 2^144920240736 is an apocalyptic number.

144920240736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144920240736 is an abundant number, since it is smaller than the sum of its proper divisors (252035207328).

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

144920240736 is a wasteful number, since it uses less digits than its factorization.

144920240736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65634203 (or 65634195 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 144920240736 in words is "one hundred forty-four billion, nine hundred twenty million, two hundred forty thousand, seven hundred thirty-six".