166425120 has 144 divisors (see below), whose sum is σ = 580245120. Its totient is φ = 43418112.

The previous prime is 166425107. The next prime is 166425137. The reversal of 166425120 is 21524661.

166425120 is a `hidden beast` number, since 1 + 6 + 642 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 66451 + ... + 68909.

It is an arithmetic number, because the mean of its divisors is an integer number (4029480).

Almost surely, 2^166425120 is an apocalyptic number.

166425120 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 166425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290122560).

166425120 is an abundant number, since it is smaller than the sum of its proper divisors (413820000).

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

166425120 is a wasteful number, since it uses less digits than its factorization.

166425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 166425120 is about 12900.5860332002. The cubic root of 166425120 is about 550.0552231052.

Adding to 166425120 its reverse (21524661), we get a palindrome (187949781).

The spelling of 166425120 in words is "one hundred sixty-six million, four hundred twenty-five thousand, one hundred twenty".