13500534144104 has 64 divisors (see below), whose sum is σ = 30402567888000. Its totient is φ = 5498646177024.

The previous prime is 13500534144073. The next prime is 13500534144133. The reversal of 13500534144104 is 40144143500531.

It is a super-2 number, since 2×13500534144104² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75674879 + ... + 75853070.

It is an arithmetic number, because the mean of its divisors is an integer number (475040123250).

Almost surely, 2^{13500534144104} is an apocalyptic number.

13500534144104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13500534144104 is an abundant number, since it is smaller than the sum of its proper divisors (16902033743896).

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

13500534144104 is a wasteful number, since it uses less digits than its factorization.

13500534144104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151528042 (or 151528038 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 13500534144104 its reverse (40144143500531), we get a palindrome (53644677644635).

The spelling of 13500534144104 in words is "thirteen trillion, five hundred billion, five hundred thirty-four million, one hundred forty-four thousand, one hundred four".