199525920 has 384 divisors, whose sum is σ = 752467968. Its totient is φ = 43929600.

The previous prime is 199525903. The next prime is 199525927. The reversal of 199525920 is 29525991.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (199525927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3764614 + ... + 3764666.

It is an arithmetic number, because the mean of its divisors is an integer number (1959552).

Almost surely, 2^199525920 is an apocalyptic number.

199525920 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 199525920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376233984).

199525920 is an abundant number, since it is smaller than the sum of its proper divisors (552942048).

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

199525920 is a wasteful number, since it uses less digits than its factorization.

199525920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 199525920 is about 14125.3644200778. The cubic root of 199525920 is about 584.3411092855.

The spelling of 199525920 in words is "one hundred ninety-nine million, five hundred twenty-five thousand, nine hundred twenty".