199966158 has 108 divisors (see below), whose sum is σ = 525037032. Its totient is φ = 56949480.

The previous prime is 199966147. The next prime is 199966171. The reversal of 199966158 is 851669991.

199966158 is a `hidden beast` number, since 19 + 9 + 9 + 6 + 615 + 8 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 642823 + ... + 643133.

It is an arithmetic number, because the mean of its divisors is an integer number (4861454).

Almost surely, 2^199966158 is an apocalyptic number.

199966158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 199966158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262518516).

199966158 is an abundant number, since it is smaller than the sum of its proper divisors (325070874).

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

199966158 is an frugal number, since it uses more digits than its factorization.

199966158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 323 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The square root of 199966158 is about 14140.9390777275. The cubic root of 199966158 is about 584.7705609125.

The spelling of 199966158 in words is "one hundred ninety-nine million, nine hundred sixty-six thousand, one hundred fifty-eight".