13545421200 has 180 divisors, whose sum is σ = 47095061988. Its totient is φ = 3605299200.

The previous prime is 13545421187. The next prime is 13545421213. The reversal of 13545421200 is 212454531.

13545421200 is a `hidden beast` number, since 1 + 3 + 5 + 454 + 2 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (13545421187) and next prime (13545421213).

It can be written as a sum of positive squares in 6 ways, for example, as 2726092944 + 10819328256 = 52212^2 + 104016^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2073940 + ... + 2080460.

Almost surely, 2^13545421200 is an apocalyptic number.

13545421200 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 13545421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23547530994).

13545421200 is an abundant number, since it is smaller than the sum of its proper divisors (33549640788).

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

13545421200 is a wasteful number, since it uses less digits than its factorization.

13545421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7122 (or 7108 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 13545421200 its reverse (212454531), we get a palindrome (13757875731).

The spelling of 13545421200 in words is "thirteen billion, five hundred forty-five million, four hundred twenty-one thousand, two hundred".