197818135200 has 1296 divisors, whose sum is σ = 886596066720. Its totient is φ = 42796615680.

The previous prime is 197818135129. The next prime is 197818135223. The reversal of 197818135200 is 2531818791.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×197818135200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 180985854 + ... + 180986946.

Almost surely, 2^197818135200 is an apocalyptic number.

197818135200 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 197818135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443298033360).

197818135200 is an abundant number, since it is smaller than the sum of its proper divisors (688777931520).

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

197818135200 is a wasteful number, since it uses less digits than its factorization.

197818135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 197818135200 in words is "one hundred ninety-seven billion, eight hundred eighteen million, one hundred thirty-five thousand, two hundred".