13540555200 has 168 divisors, whose sum is σ = 46762741120. Its totient is φ = 3420748800.

The previous prime is 13540555087. The next prime is 13540555253. The reversal of 13540555200 is 255504531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 16965 + ... + 165435.

Almost surely, 2^13540555200 is an apocalyptic number.

13540555200 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 13540555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23381370560).

13540555200 is an abundant number, since it is smaller than the sum of its proper divisors (33222185920).

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

13540555200 is a wasteful number, since it uses less digits than its factorization.

13540555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148515 (or 148500 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 13540555200 in words is "thirteen billion, five hundred forty million, five hundred fifty-five thousand, two hundred".