13540311200 has 144 divisors (see below), whose sum is σ = 36202995360. Its totient is φ = 4914539520.

The previous prime is 13540311173. The next prime is 13540311203. The reversal of 13540311200 is 211304531.

It is a super-3 number, since 3×13540311200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13540311203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602567 + ... + 624633.

It is an arithmetic number, because the mean of its divisors is an integer number (251409690).

Almost surely, 2^13540311200 is an apocalyptic number.

13540311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13540311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18101497680).

13540311200 is an abundant number, since it is smaller than the sum of its proper divisors (22662684160).

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

13540311200 is a wasteful number, since it uses less digits than its factorization.

13540311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22159 (or 22146 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13540311200 its reverse (211304531), we get a palindrome (13751615731).

The spelling of 13540311200 in words is "thirteen billion, five hundred forty million, three hundred eleven thousand, two hundred".