13144254535200 has 144 divisors (see below), whose sum is σ = 43326125700480. Its totient is φ = 3460765701120.

The previous prime is 13144254535183. The next prime is 13144254535229. The reversal of 13144254535200 is 253545244131.

13144254535200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13144254535200² (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 23 ways as a sum of consecutive naturals, for example, 34473519 + ... + 34852718.

It is an arithmetic number, because the mean of its divisors is an integer number (300875872920).

Almost surely, 2^{13144254535200} is an apocalyptic number.

13144254535200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144254535200 is an abundant number, since it is smaller than the sum of its proper divisors (30181871165280).

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

13144254535200 is a wasteful number, since it uses less digits than its factorization.

13144254535200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69326339 (or 69326326 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 13144254535200 its reverse (253545244131), we get a palindrome (13397799779331).

The spelling of 13144254535200 in words is "thirteen trillion, one hundred forty-four billion, two hundred fifty-four million, five hundred thirty-five thousand, two hundred".