13554800 has 120 divisors (see below), whose sum is σ = 38378496. Its totient is φ = 4504320.

The previous prime is 13554787. The next prime is 13554829. The reversal of 13554800 is 845531.

13554800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13554800.

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, 131549 + ... + 131651.

Almost surely, 2^13554800 is an apocalyptic number.

13554800 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 13554800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19189248).

13554800 is an abundant number, since it is smaller than the sum of its proper divisors (24823696).

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

13554800 is a wasteful number, since it uses less digits than its factorization.

13554800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 13554800 is about 3681.6843971204. The cubic root of 13554800 is about 238.4319064543.

The spelling of 13554800 in words is "thirteen million, five hundred fifty-four thousand, eight hundred".