13515352200 has 240 divisors, whose sum is σ = 53647102080. Its totient is φ = 3089197440.

The previous prime is 13515352187. The next prime is 13515352229. The reversal of 13515352200 is 225351531.

It is a happy number.

13515352200 is a `hidden beast` number, since 135 + 1 + 5 + 3 + 522 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53809 + ... + 172991.

It is an arithmetic number, because the mean of its divisors is an integer number (223529592).

Almost surely, 2^13515352200 is an apocalyptic number.

13515352200 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 13515352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26823551040).

13515352200 is an abundant number, since it is smaller than the sum of its proper divisors (40131749880).

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

13515352200 is a wasteful number, since it uses less digits than its factorization.

13515352200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119218 (or 119200 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 13515352200 in words is "thirteen billion, five hundred fifteen million, three hundred fifty-two thousand, two hundred".