166042000 has 80 divisors (see below), whose sum is σ = 408371184. Its totient is φ = 65280000.

The previous prime is 166041973. The next prime is 166042003. The reversal of 166042000 is 240661.

166042000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 130233744 + 35808256 = 11412^2 + 5984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×166042000³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (166042003) 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, 121320 + ... + 122680.

Almost surely, 2^166042000 is an apocalyptic number.

166042000 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 166042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204185592).

166042000 is an abundant number, since it is smaller than the sum of its proper divisors (242329184).

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

166042000 is a wasteful number, since it uses less digits than its factorization.

166042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 166042000 is about 12885.7285397450. The cubic root of 166042000 is about 549.6328127668.

Adding to 166042000 its reverse (240661), we get a palindrome (166282661).

It can be divided in two parts, 1660 and 42000, that added together give a triangular number (43660 = T₂₉₅).

The spelling of 166042000 in words is "one hundred sixty-six million, forty-two thousand".