126345168 has 30 divisors (see below), whose sum is σ = 353591394. Its totient is φ = 42115008.

The previous prime is 126345161. The next prime is 126345179. The reversal of 126345168 is 861543621.

It is a happy number.

126345168 is a `hidden beast` number, since 1 + 2 + 634 + 5 + 16 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125619264 + 725904 = 11208^2 + 852^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126345161) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 438555 + ... + 438842.

Almost surely, 2^126345168 is an apocalyptic number.

126345168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126345168 is an abundant number, since it is smaller than the sum of its proper divisors (227246226).

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

126345168 is a wasteful number, since it uses less digits than its factorization.

126345168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877411 (or 877402 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 126345168 is about 11240.3366497628. The cubic root of 126345168 is about 501.7871618277.

Adding to 126345168 its reverse (861543621), we get a palindrome (987888789).

The spelling of 126345168 in words is "one hundred twenty-six million, three hundred forty-five thousand, one hundred sixty-eight".