144476720900 has 72 divisors (see below), whose sum is σ = 314579006280. Its totient is φ = 57594839040.

The previous prime is 144476720891. The next prime is 144476720959. The reversal of 144476720900 is 9027674441.

144476720900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 32086840384 + 112389880516 = 179128^2 + 335246^2 .

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 23 ways as a sum of consecutive naturals, for example, 42831614 + ... + 42834986.

It is an arithmetic number, because the mean of its divisors is an integer number (4369152865).

Almost surely, 2^144476720900 is an apocalyptic number.

144476720900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144476720900 is an abundant number, since it is smaller than the sum of its proper divisors (170102285380).

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

144476720900 is a wasteful number, since it uses less digits than its factorization.

144476720900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 144476720900 in words is "one hundred forty-four billion, four hundred seventy-six million, seven hundred twenty thousand, nine hundred".