199688148 has 72 divisors (see below), whose sum is σ = 562423680. Its totient is φ = 59218560.

The previous prime is 199688117. The next prime is 199688179. The reversal of 199688148 is 841886991.

It is an interprime number because it is at equal distance from previous prime (199688117) and next prime (199688179).

It is a junction number, because it is equal to n+sod(n) for n = 199688094 and 199688103.

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, 13248 + ... + 23976.

It is an arithmetic number, because the mean of its divisors is an integer number (7811440).

Almost surely, 2^199688148 is an apocalyptic number.

199688148 is a gapful number since it is divisible by the number (18) 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 199688148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281211840).

199688148 is an abundant number, since it is smaller than the sum of its proper divisors (362735532).

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

199688148 is a wasteful number, since it uses less digits than its factorization.

199688148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10797 (or 10792 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 199688148 is about 14131.1056892233. The cubic root of 199688148 is about 584.4994359315.

The spelling of 199688148 in words is "one hundred ninety-nine million, six hundred eighty-eight thousand, one hundred forty-eight".