126126126 has 32 divisors (see below), whose sum is σ = 320321280. Its totient is φ = 36035928.

The previous prime is 126126097. The next prime is 126126139. The reversal of 126126126 is 621621621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

126126126 is a modest number, since divided by 126126 gives 126 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 126126126.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 166456 + ... + 167211.

It is an arithmetic number, because the mean of its divisors is an integer number (10010040).

Almost surely, 2^126126126 is an apocalyptic number.

126126126 is an abundant number, since it is smaller than the sum of its proper divisors (194195154).

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

126126126 is a wasteful number, since it uses less digits than its factorization.

126126126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333685 (or 333679 counting only the distinct ones).

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

The square root of 126126126 is about 11230.5888536621. The cubic root of 126126126 is about 501.4970147538.

Adding to 126126126 its reverse (621621621), we get a palindrome (747747747).

The spelling of 126126126 in words is "one hundred twenty-six million, one hundred twenty-six thousand, one hundred twenty-six".