199585152 has 96 divisors (see below), whose sum is σ = 618552480. Its totient is φ = 61406208.

The previous prime is 199585123. The next prime is 199585241. The reversal of 199585152 is 251585991.

199585152 is a `hidden beast` number, since 19 + 9 + 585 + 1 + 52 = 666.

199585152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 199585098 and 199585107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8313 + ... + 21639.

It is an arithmetic number, because the mean of its divisors is an integer number (6443255).

Almost surely, 2^199585152 is an apocalyptic number.

199585152 is a gapful number since it is divisible by the number (12) 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 199585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309276240).

199585152 is an abundant number, since it is smaller than the sum of its proper divisors (418967328).

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

199585152 is a wasteful number, since it uses less digits than its factorization.

199585152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13360 (or 13345 counting only the distinct ones).

The product of its digits is 162000, while the sum is 45.

The square root of 199585152 is about 14127.4609183675. The cubic root of 199585152 is about 584.3989267830.

The spelling of 199585152 in words is "one hundred ninety-nine million, five hundred eighty-five thousand, one hundred fifty-two".