13519530144 has 72 divisors (see below), whose sum is σ = 39020042880. Its totient is φ = 4439242368.

The previous prime is 13519530133. The next prime is 13519530239. The reversal of 13519530144 is 44103591531.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 13519530099 and 13519530108.

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, 331024 + ... + 369615.

It is an arithmetic number, because the mean of its divisors is an integer number (541945040).

Almost surely, 2^13519530144 is an apocalyptic number.

It is an amenable number.

13519530144 is an abundant number, since it is smaller than the sum of its proper divisors (25500512736).

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

13519530144 is a wasteful number, since it uses less digits than its factorization.

13519530144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700722 (or 700711 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13519530144 in words is "thirteen billion, five hundred nineteen million, five hundred thirty thousand, one hundred forty-four".