126167168 has 64 divisors (see below), whose sum is σ = 266679000. Its totient is φ = 59351040.

The previous prime is 126167159. The next prime is 126167207. The reversal of 126167168 is 861761621.

It can be written as a sum of positive squares in 4 ways, for example, as 83028544 + 43138624 = 9112^2 + 6568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×126167168² = 31836308562280448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151778 + ... + 152606.

Almost surely, 2^126167168 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 126167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133339500).

126167168 is an abundant number, since it is smaller than the sum of its proper divisors (140511832).

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

126167168 is an equidigital number, since it uses as much as digits as its factorization.

126167168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 901 counting only the distinct ones).

The product of its digits is 24192, while the sum is 38.

The square root of 126167168 is about 11232.4159467142. The cubic root of 126167168 is about 501.5514053045.

The spelling of 126167168 in words is "one hundred twenty-six million, one hundred sixty-seven thousand, one hundred sixty-eight".