13542443200 has 504 divisors, whose sum is σ = 40980390480. Its totient is φ = 4361011200.

The previous prime is 13542443147. The next prime is 13542443203. The reversal of 13542443200 is 234424531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13542443203) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 86257522 + ... + 86257678.

Almost surely, 2^13542443200 is an apocalyptic number.

13542443200 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 13542443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490195240).

13542443200 is an abundant number, since it is smaller than the sum of its proper divisors (27437947280).

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

13542443200 is a wasteful number, since it uses less digits than its factorization.

13542443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 13542443200 its reverse (234424531), we get a palindrome (13776867731).

The spelling of 13542443200 in words is "thirteen billion, five hundred forty-two million, four hundred forty-three thousand, two hundred".