13530438144 has 60 divisors (see below), whose sum is σ = 39049773906. Its totient is φ = 4510144512.

The previous prime is 13530438139. The next prime is 13530438169. The reversal of 13530438144 is 44183403531.

13530438144 is a `hidden beast` number, since 1 + 3 + 530 + 4 + 3 + 81 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13481996544 + 48441600 = 116112^2 + 6960^2 .

It is a super-2 number, since 2×13530438144² (a number of 21 digits) contains 22 as substring.

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 = 13530438099 and 13530438108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1463539 + ... + 1472754.

Almost surely, 2^13530438144 is an apocalyptic number.

It is an amenable number.

13530438144 is an abundant number, since it is smaller than the sum of its proper divisors (25519335762).

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

13530438144 is an equidigital number, since it uses as much as digits as its factorization.

13530438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936317 (or 2936298 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13530438144 in words is "thirteen billion, five hundred thirty million, four hundred thirty-eight thousand, one hundred forty-four".