126165220 has 24 divisors (see below), whose sum is σ = 265285944. Its totient is φ = 50401536.

The previous prime is 126165217. The next prime is 126165251. The reversal of 126165220 is 22561621.

It can be written as a sum of positive squares in 4 ways, for example, as 7311616 + 118853604 = 2704^2 + 10902^2 .

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 7 ways as a sum of consecutive naturals, for example, 13944 + ... + 21136.

It is an arithmetic number, because the mean of its divisors is an integer number (11053581).

Almost surely, 2^126165220 is an apocalyptic number.

126165220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126165220 is an abundant number, since it is smaller than the sum of its proper divisors (139120724).

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

126165220 is a wasteful number, since it uses less digits than its factorization.

126165220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079 (or 8077 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 126165220 is about 11232.3292330665. The cubic root of 126165220 is about 501.5488240012.

The spelling of 126165220 in words is "one hundred twenty-six million, one hundred sixty-five thousand, two hundred twenty".