13542115200 has 192 divisors, whose sum is σ = 44841586800. Its totient is φ = 3592028160.

The previous prime is 13542115199. The next prime is 13542115211. The reversal of 13542115200 is 251124531.

It is a happy number.

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 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, 1849146 + ... + 1856454.

Almost surely, 2^13542115200 is an apocalyptic number.

13542115200 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 13542115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22420793400).

13542115200 is an abundant number, since it is smaller than the sum of its proper divisors (31299471600).

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

13542115200 is a wasteful number, since it uses less digits than its factorization.

13542115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7529 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 13542115200 its reverse (251124531), we get a palindrome (13793239731).

The spelling of 13542115200 in words is "thirteen billion, five hundred forty-two million, one hundred fifteen thousand, two hundred".