166125960 has 384 divisors, whose sum is σ = 726485760. Its totient is φ = 31795200.

The previous prime is 166125917. The next prime is 166125961. The reversal of 166125960 is 69521661.

166125960 is a `hidden beast` number, since 1 + 6 + 61 + 2 + 596 + 0 = 666.

166125960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (166125961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360130 + ... + 360590.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^166125960 is an apocalyptic number.

166125960 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 166125960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363242880).

166125960 is an abundant number, since it is smaller than the sum of its proper divisors (560359800).

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

166125960 is a wasteful number, since it uses less digits than its factorization.

166125960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 166125960 is about 12888.9859958028. The cubic root of 166125960 is about 549.7254387188.

The spelling of 166125960 in words is "one hundred sixty-six million, one hundred twenty-five thousand, nine hundred sixty".