199137120 has 384 divisors, whose sum is σ = 796594176. Its totient is φ = 40697856.

The previous prime is 199137101. The next prime is 199137137. The reversal of 199137120 is 21731991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2052912 + ... + 2053008.

It is an arithmetic number, because the mean of its divisors is an integer number (2074464).

Almost surely, 2^199137120 is an apocalyptic number.

199137120 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 199137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398297088).

199137120 is an abundant number, since it is smaller than the sum of its proper divisors (597457056).

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

199137120 is a wasteful number, since it uses less digits than its factorization.

199137120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 33.

The square root of 199137120 is about 14111.5952322904. The cubic root of 199137120 is about 583.9613097531.

The spelling of 199137120 in words is "one hundred ninety-nine million, one hundred thirty-seven thousand, one hundred twenty".