144302004475920 has 60 divisors (see below), whose sum is σ = 484614231700716. Its totient is φ = 38480534526720.

The previous prime is 144302004475919. The next prime is 144302004475991. The reversal of 144302004475920 is 29574400203441.

144302004475920 is a `hidden beast` number, since 1 + 4 + 4 + 30 + 20 + 0 + 4 + 4 + 7 + 592 + 0 = 666.

144302004475920 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 2 ways, for example, as 55895599984896 + 88406404491024 = 7476336^2 + 9402468^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100209724611 + ... + 100209726050.

Almost surely, 2^{144302004475920} is an apocalyptic number.

144302004475920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144302004475920 is an abundant number, since it is smaller than the sum of its proper divisors (340312227224796).

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

144302004475920 is a wasteful number, since it uses less digits than its factorization.

144302004475920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200419450680 (or 200419450671 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 144302004475920 in words is "one hundred forty-four trillion, three hundred two billion, four million, four hundred seventy-five thousand, nine hundred twenty".