198135849130200 has 960 divisors, whose sum is σ = 748069191936000. Its totient is φ = 48419410176000.

The previous prime is 198135849130171. The next prime is 198135849130207. The reversal of 198135849130200 is 2031948531891.

It is a happy number.

198135849130200 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 3 + 584 + 9 + 1 + 30 + 20 + 0 = 666.

It is a super-3 number, since 3×198135849130200³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198135849130207) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 41898041436 + ... + 41898046164.

It is an arithmetic number, because the mean of its divisors is an integer number (779238741600).

Almost surely, 2^{198135849130200} is an apocalyptic number.

198135849130200 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 198135849130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374034595968000).

198135849130200 is an abundant number, since it is smaller than the sum of its proper divisors (549933342805800).

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

198135849130200 is a wasteful number, since it uses less digits than its factorization.

198135849130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9198 (or 9180 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 198135849130200 in words is "one hundred ninety-eight trillion, one hundred thirty-five billion, eight hundred forty-nine million, one hundred thirty thousand, two hundred".