199967136 has 48 divisors (see below), whose sum is σ = 528099264. Its totient is φ = 66251264.

The previous prime is 199967123. The next prime is 199967137. The reversal of 199967136 is 631769991.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×199967136⁴ (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (199967137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9796 + ... + 22268.

It is an arithmetic number, because the mean of its divisors is an integer number (11002068).

Almost surely, 2^199967136 is an apocalyptic number.

199967136 is a gapful number since it is divisible by the number (16) 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 199967136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264049632).

199967136 is an abundant number, since it is smaller than the sum of its proper divisors (328132128).

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

199967136 is a wasteful number, since it uses less digits than its factorization.

199967136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12653 (or 12645 counting only the distinct ones).

The product of its digits is 551124, while the sum is 51.

The square root of 199967136 is about 14140.9736581326. The cubic root of 199967136 is about 584.7715142483.

The spelling of 199967136 in words is "one hundred ninety-nine million, nine hundred sixty-seven thousand, one hundred thirty-six".