190845200 has 240 divisors, whose sum is σ = 581212800. Its totient is φ = 59834880.

The previous prime is 190845173. The next prime is 190845211. The reversal of 190845200 is 2548091.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1783547 + ... + 1783653.

It is an arithmetic number, because the mean of its divisors is an integer number (2421720).

Almost surely, 2^190845200 is an apocalyptic number.

190845200 is a gapful number since it is divisible by the number (10) 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 190845200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290606400).

190845200 is an abundant number, since it is smaller than the sum of its proper divisors (390367600).

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

190845200 is a wasteful number, since it uses less digits than its factorization.

190845200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 190845200 is about 13814.6733584258. The cubic root of 190845200 is about 575.7408974827.

The spelling of 190845200 in words is "one hundred ninety million, eight hundred forty-five thousand, two hundred".