166133000 has 96 divisors (see below), whose sum is σ = 427616280. Its totient is φ = 60368000.

The previous prime is 166132973. The next prime is 166133003. The reversal of 166133000 is 331661.

It can be written as a sum of positive squares in 4 ways, for example, as 103754596 + 62378404 = 10186^2 + 7898^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (166133003) 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, 120314 + ... + 121686.

Almost surely, 2^166133000 is an apocalyptic number.

166133000 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 166133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213808140).

166133000 is an abundant number, since it is smaller than the sum of its proper divisors (261483280).

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

166133000 is a wasteful number, since it uses less digits than its factorization.

166133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 166133000 is about 12889.2590943002. The cubic root of 166133000 is about 549.7332039358.

Adding to 166133000 its reverse (331661), we get a palindrome (166464661).

The spelling of 166133000 in words is "one hundred sixty-six million, one hundred thirty-three thousand".