166761132 has 48 divisors (see below), whose sum is σ = 407780352. Its totient is φ = 52940800.

The previous prime is 166761131. The next prime is 166761167. The reversal of 166761132 is 231167661.

It is a junction number, because it is equal to n+sod(n) for n = 166761093 and 166761102.

It is not an unprimeable number, because it can be changed into a prime (166761131) 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 15 ways as a sum of consecutive naturals, for example, 69757 + ... + 72107.

It is an arithmetic number, because the mean of its divisors is an integer number (8495424).

Almost surely, 2^166761132 is an apocalyptic number.

166761132 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 166761132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203890176).

166761132 is an abundant number, since it is smaller than the sum of its proper divisors (241019220).

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

166761132 is a wasteful number, since it uses less digits than its factorization.

166761132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2636 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 166761132 is about 12913.6025957128. The cubic root of 166761132 is about 550.4251610644.

The spelling of 166761132 in words is "one hundred sixty-six million, seven hundred sixty-one thousand, one hundred thirty-two".