13545600 has 192 divisors, whose sum is σ = 47809440. Its totient is φ = 3358720.

The previous prime is 13545557. The next prime is 13545619. The reversal of 13545600 is 654531.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 163159 + ... + 163241.

Almost surely, 2^13545600 is an apocalyptic number.

13545600 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 13545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23904720).

13545600 is an abundant number, since it is smaller than the sum of its proper divisors (34263840).

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

13545600 is a wasteful number, since it uses less digits than its factorization.

13545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 13545600 is about 3680.4347569275. The cubic root of 13545600 is about 238.3779509059.

The spelling of 13545600 in words is "thirteen million, five hundred forty-five thousand, six hundred".