126126168 has 64 divisors (see below), whose sum is σ = 369169920. Its totient is φ = 35155200.

The previous prime is 126126163. The next prime is 126126233. The reversal of 126126168 is 861621621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126126163) 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, 2268 + ... + 16043.

It is an arithmetic number, because the mean of its divisors is an integer number (5768280).

Almost surely, 2^126126168 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 126126168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184584960).

126126168 is an abundant number, since it is smaller than the sum of its proper divisors (243043752).

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

126126168 is a wasteful number, since it uses less digits than its factorization.

126126168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18368 (or 18364 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 126126168 is about 11230.5907235550. The cubic root of 126126168 is about 501.4970704200.

Adding to 126126168 its reverse (861621621), we get a palindrome (987747789).

The spelling of 126126168 in words is "one hundred twenty-six million, one hundred twenty-six thousand, one hundred sixty-eight".