166145000 has 160 divisors (see below), whose sum is σ = 458853120. Its totient is φ = 55200000.

The previous prime is 166144981. The next prime is 166145009. The reversal of 166145000 is 541661.

166145000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166145000² = 55208322050000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166145009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1644950 + ... + 1645050.

It is an arithmetic number, because the mean of its divisors is an integer number (2867832).

Almost surely, 2^166145000 is an apocalyptic number.

166145000 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 166145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229426560).

166145000 is an abundant number, since it is smaller than the sum of its proper divisors (292708120).

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

166145000 is a wasteful number, since it uses less digits than its factorization.

166145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 166145000 is about 12889.7245897653. The cubic root of 166145000 is about 549.7464395956.

Adding to 166145000 its reverse (541661), we get a palindrome (166686661).

The spelling of 166145000 in words is "one hundred sixty-six million, one hundred forty-five thousand".