1020166146 has 48 divisors (see below), whose sum is σ = 2280353400. Its totient is φ = 329370624.

The previous prime is 1020166129. The next prime is 1020166151. The reversal of 1020166146 is 6416610201.

1020166146 is a `hidden beast` number, since 10 + 20 + 16 + 614 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 943165521 + 77000625 = 30711^2 + 8775^2 .

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 149170 + ... + 155858.

Almost surely, 2^1020166146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020166146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140176700).

1020166146 is an abundant number, since it is smaller than the sum of its proper divisors (1260187254).

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

1020166146 is a wasteful number, since it uses less digits than its factorization.

1020166146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6963 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1020166146 is about 31940.0398559551. The cubic root of 1020166146 is about 1006.6773622584.

Adding to 1020166146 its reverse (6416610201), we get a palindrome (7436776347).

The spelling of 1020166146 in words is "one billion, twenty million, one hundred sixty-six thousand, one hundred forty-six".