13530354200 has 192 divisors, whose sum is σ = 35378449920. Its totient is φ = 4769856000.

The previous prime is 13530354191. The next prime is 13530354223. The reversal of 13530354200 is 245303531.

It is a self number, because there is not a number n which added to its sum of digits gives 13530354200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14851745 + ... + 14852655.

It is an arithmetic number, because the mean of its divisors is an integer number (184262760).

Almost surely, 2^13530354200 is an apocalyptic number.

13530354200 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 13530354200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17689224960).

13530354200 is an abundant number, since it is smaller than the sum of its proper divisors (21848095720).

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

13530354200 is a wasteful number, since it uses less digits than its factorization.

13530354200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

Adding to 13530354200 its reverse (245303531), we get a palindrome (13775657731).

The spelling of 13530354200 in words is "thirteen billion, five hundred thirty million, three hundred fifty-four thousand, two hundred".