13542341200 has 120 divisors (see below), whose sum is σ = 34731616320. Its totient is φ = 5059353600.

The previous prime is 13542341161. The next prime is 13542341201. The reversal of 13542341200 is 214324531.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542341201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527052 + ... + 552148.

It is an arithmetic number, because the mean of its divisors is an integer number (289430136).

Almost surely, 2^13542341200 is an apocalyptic number.

13542341200 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 13542341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17365808160).

13542341200 is an abundant number, since it is smaller than the sum of its proper divisors (21189275120).

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

13542341200 is a wasteful number, since it uses less digits than its factorization.

13542341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25205 (or 25194 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 13542341200 its reverse (214324531), we get a palindrome (13756665731).

The spelling of 13542341200 in words is "thirteen billion, five hundred forty-two million, three hundred forty-one thousand, two hundred".