166133520 has 360 divisors, whose sum is σ = 689681304. Its totient is φ = 35610624.

The previous prime is 166133509. The next prime is 166133521. The reversal of 166133520 is 25331661.

166133520 is a `hidden beast` number, since 1 + 6 + 6 + 133 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13660416 + 152473104 = 3696^2 + 12348^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (166133521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 599622 + ... + 599898.

Almost surely, 2^166133520 is an apocalyptic number.

166133520 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 166133520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344840652).

166133520 is an abundant number, since it is smaller than the sum of its proper divisors (523547784).

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

166133520 is a wasteful number, since it uses less digits than its factorization.

166133520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 166133520 is about 12889.2792661188. The cubic root of 166133520 is about 549.7337774943.

The spelling of 166133520 in words is "one hundred sixty-six million, one hundred thirty-three thousand, five hundred twenty".