199918152 has 128 divisors (see below), whose sum is σ = 668160000. Its totient is φ = 54105408.

The previous prime is 199918127. The next prime is 199918157. The reversal of 199918152 is 251819991.

It is a junction number, because it is equal to n+sod(n) for n = 199918098 and 199918107.

It is not an unprimeable number, because it can be changed into a prime (199918157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25249 + ... + 32207.

It is an arithmetic number, because the mean of its divisors is an integer number (5220000).

Almost surely, 2^199918152 is an apocalyptic number.

199918152 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 199918152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334080000).

199918152 is an abundant number, since it is smaller than the sum of its proper divisors (468241848).

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

199918152 is a wasteful number, since it uses less digits than its factorization.

199918152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000 (or 6990 counting only the distinct ones).

The product of its digits is 58320, while the sum is 45.

The square root of 199918152 is about 14139.2415638181. The cubic root of 199918152 is about 584.7237617564.

The spelling of 199918152 in words is "one hundred ninety-nine million, nine hundred eighteen thousand, one hundred fifty-two".