165199248 has 120 divisors (see below), whose sum is σ = 498301440. Its totient is φ = 50941440.

The previous prime is 165199247. The next prime is 165199267. The reversal of 165199248 is 842991561.

165199248 is a `hidden beast` number, since 1 + 6 + 519 + 92 + 48 = 666.

165199248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165199247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101868 + ... + 103476.

It is an arithmetic number, because the mean of its divisors is an integer number (4152512).

Almost surely, 2^165199248 is an apocalyptic number.

165199248 is a gapful number since it is divisible by the number (18) 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 165199248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249150720).

165199248 is an abundant number, since it is smaller than the sum of its proper divisors (333102192).

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

165199248 is a wasteful number, since it uses less digits than its factorization.

165199248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1668 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 165199248 is about 12852.9859565783. The cubic root of 165199248 is about 548.7013415343.

The spelling of 165199248 in words is "one hundred sixty-five million, one hundred ninety-nine thousand, two hundred forty-eight".