166416132 has 48 divisors (see below), whose sum is σ = 407111040. Its totient is φ = 52808448.

The previous prime is 166416127. The next prime is 166416161. The reversal of 166416132 is 231614661.

166416132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 166416132.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61888 + ... + 64520.

It is an arithmetic number, because the mean of its divisors is an integer number (8481480).

Almost surely, 2^166416132 is an apocalyptic number.

166416132 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 166416132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203555520).

166416132 is an abundant number, since it is smaller than the sum of its proper divisors (240694908).

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

166416132 is a wasteful number, since it uses less digits than its factorization.

166416132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2890 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 166416132 is about 12900.2376722291. The cubic root of 166416132 is about 550.0453207833.

It can be divided in two parts, 166416 and 132, that multiplied together give a palindrome (21966912).

The spelling of 166416132 in words is "one hundred sixty-six million, four hundred sixteen thousand, one hundred thirty-two".