166005136 has 80 divisors (see below), whose sum is σ = 375565248. Its totient is φ = 70246400.

The previous prime is 166005131. The next prime is 166005143. The reversal of 166005136 is 631500661.

It is not an unprimeable number, because it can be changed into a prime (166005131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337851 + ... + 338341.

Almost surely, 2^166005136 is an apocalyptic number.

166005136 is a gapful number since it is divisible by the number (16) 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 166005136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187782624).

166005136 is an abundant number, since it is smaller than the sum of its proper divisors (209560112).

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

166005136 is a wasteful number, since it uses less digits than its factorization.

166005136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 166005136 is about 12884.2980406385. The cubic root of 166005136 is about 549.5921339753.

Adding to 166005136 its reverse (631500661), we get a palindrome (797505797).

It can be divided in two parts, 16600 and 5136, that added together give a triangular number (21736 = T₂₀₈).

The spelling of 166005136 in words is "one hundred sixty-six million, five thousand, one hundred thirty-six".