13540133600 has 144 divisors (see below), whose sum is σ = 37825579008. Its totient is φ = 4636362240.

The previous prime is 13540133591. The next prime is 13540133627. The reversal of 13540133600 is 633104531.

It is a self number, because there is not a number n which added to its sum of digits gives 13540133600.

It is a congruent number.

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, 8640017 + ... + 8641583.

It is an arithmetic number, because the mean of its divisors is an integer number (262677632).

Almost surely, 2^13540133600 is an apocalyptic number.

13540133600 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 13540133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18912789504).

13540133600 is an abundant number, since it is smaller than the sum of its proper divisors (24285445408).

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

13540133600 is a wasteful number, since it uses less digits than its factorization.

13540133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The spelling of 13540133600 in words is "thirteen billion, five hundred forty million, one hundred thirty-three thousand, six hundred".