126000126 has 48 divisors (see below), whose sum is σ = 315121248. Its totient is φ = 35640000.

The previous prime is 126000101. The next prime is 126000131. The reversal of 126000126 is 621000621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 126000099 and 126000108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7776 + ... + 17676.

It is an arithmetic number, because the mean of its divisors is an integer number (6565026).

Almost surely, 2^126000126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126000126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157560624).

126000126 is an abundant number, since it is smaller than the sum of its proper divisors (189121122).

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

126000126 is a wasteful number, since it uses less digits than its factorization.

126000126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10017 (or 10014 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 126000126 is about 11224.9777728065. The cubic root of 126000126 is about 501.3299606063.

126000126 divided by its sum of digits (18) gives a palindrome (7000007).

Adding to 126000126 its reverse (621000621), we get a palindrome (747000747).

The spelling of 126000126 in words is "one hundred twenty-six million, one hundred twenty-six", and thus it is an aban number.