199945152 has 224 divisors, whose sum is σ = 654954240. Its totient is φ = 59304960.

The previous prime is 199945139. The next prime is 199945153. The reversal of 199945152 is 251549991.

199945152 is a `hidden beast` number, since 199 + 9 + 451 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 199945098 and 199945107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199945153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1273458 + ... + 1273614.

Almost surely, 2^199945152 is an apocalyptic number.

199945152 is a gapful number since it is divisible by the number (12) 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 199945152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327477120).

199945152 is an abundant number, since it is smaller than the sum of its proper divisors (455009088).

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

199945152 is a wasteful number, since it uses less digits than its factorization.

199945152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its digits is 145800, while the sum is 45.

The square root of 199945152 is about 14140.1963211265. The cubic root of 199945152 is about 584.7500839133.

The spelling of 199945152 in words is "one hundred ninety-nine million, nine hundred forty-five thousand, one hundred fifty-two".