166945128 has 64 divisors (see below), whose sum is σ = 487157760. Its totient is φ = 46681536.

The previous prime is 166945127. The next prime is 166945133. The reversal of 166945128 is 821549661.

166945128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 166945128.

It is not an unprimeable number, because it can be changed into a prime (166945127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2676 + ... + 18467.

It is an arithmetic number, because the mean of its divisors is an integer number (7611840).

Almost surely, 2^166945128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166945128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243578880).

166945128 is an abundant number, since it is smaller than the sum of its proper divisors (320212632).

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

166945128 is a wasteful number, since it uses less digits than its factorization.

166945128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21206 (or 21202 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 166945128 is about 12920.7247474745. The cubic root of 166945128 is about 550.6275239729.

The spelling of 166945128 in words is "one hundred sixty-six million, nine hundred forty-five thousand, one hundred twenty-eight".