13538800 has 120 divisors (see below), whose sum is σ = 37778832. Its totient is φ = 4608000.

The previous prime is 13538779. The next prime is 13538813. The reversal of 13538800 is 883531.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 74710 + ... + 74890.

Almost surely, 2^13538800 is an apocalyptic number.

13538800 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 13538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889416).

13538800 is an abundant number, since it is smaller than the sum of its proper divisors (24240032).

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

13538800 is a wasteful number, since it uses less digits than its factorization.

13538800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 13538800 is about 3679.5108370543. The cubic root of 13538800 is about 238.3380550137.

It can be divided in two parts, 1353 and 8800, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 13538800 in words is "thirteen million, five hundred thirty-eight thousand, eight hundred".