13206672144 has 30 divisors (see below), whose sum is σ = 36960339806. Its totient is φ = 4402224000.

The previous prime is 13206672137. The next prime is 13206672161. The reversal of 13206672144 is 44127660231.

It can be written as a sum of positive squares in only one way, i.e., 13204767744 + 1904400 = 114912^2 + 1380^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13206672099 and 13206672108.

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, 45856357 + ... + 45856644.

Almost surely, 2^13206672144 is an apocalyptic number.

It is an amenable number.

13206672144 is an abundant number, since it is smaller than the sum of its proper divisors (23753667662).

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

13206672144 is a wasteful number, since it uses less digits than its factorization.

13206672144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91713015 (or 91713006 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13206672144 in words is "thirteen billion, two hundred six million, six hundred seventy-two thousand, one hundred forty-four".