166141332 has 72 divisors (see below), whose sum is σ = 482227200. Its totient is φ = 47245248.

The previous prime is 166141331. The next prime is 166141333. The reversal of 166141332 is 233141661.

166141332 is a `hidden beast` number, since 1 + 6 + 614 + 13 + 32 = 666.

166141332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166141331) and next prime (166141333).

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

It is a junction number, because it is equal to n+sod(n) for n = 166141296 and 166141305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166141331) 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, 56269 + ... + 59147.

It is an arithmetic number, because the mean of its divisors is an integer number (6697600).

Almost surely, 2^166141332 is an apocalyptic number.

166141332 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 166141332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241113600).

166141332 is an abundant number, since it is smaller than the sum of its proper divisors (316085868).

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

166141332 is a wasteful number, since it uses less digits than its factorization.

166141332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3120 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 166141332 is about 12889.5823051021. The cubic root of 166141332 is about 549.7423939633.

Adding to 166141332 its reverse (233141661), we get a palindrome (399282993).

The spelling of 166141332 in words is "one hundred sixty-six million, one hundred forty-one thousand, three hundred thirty-two".