144138006800 has 30 divisors (see below), whose sum is σ = 346291562298. Its totient is φ = 57655202560.

The previous prime is 144138006797. The next prime is 144138006821. The reversal of 144138006800 is 8600831441.

It can be written as a sum of positive squares in 3 ways, for example, as 35899638784 + 108238368016 = 189472^2 + 328996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180172109 + ... + 180172908.

Almost surely, 2^144138006800 is an apocalyptic number.

144138006800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144138006800 is an abundant number, since it is smaller than the sum of its proper divisors (202153555498).

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

144138006800 is a wasteful number, since it uses less digits than its factorization.

144138006800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360345035 (or 360345024 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 144138006800 in words is "one hundred forty-four billion, one hundred thirty-eight million, six thousand, eight hundred".