199137679200 has 144 divisors (see below), whose sum is σ = 720214684560. Its totient is φ = 53103375360.

The previous prime is 199137679199. The next prime is 199137679219. The reversal of 199137679200 is 2976731991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×199137679200² (a number of 23 digits) contains 22 as substring.

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

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, 4588069 + ... + 4631268.

It is an arithmetic number, because the mean of its divisors is an integer number (5001490865).

Almost surely, 2^199137679200 is an apocalyptic number.

199137679200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199137679200 is an abundant number, since it is smaller than the sum of its proper divisors (521077005360).

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

199137679200 is a wasteful number, since it uses less digits than its factorization.

199137679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9219366 (or 9219347 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 199137679200 in words is "one hundred ninety-nine billion, one hundred thirty-seven million, six hundred seventy-nine thousand, two hundred".