13167126 has 48 divisors (see below), whose sum is σ = 33666048. Its totient is φ = 3639600.

The previous prime is 13167107. The next prime is 13167137. The reversal of 13167126 is 62176131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13167126.

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 23 ways as a sum of consecutive naturals, for example, 2221 + ... + 5591.

It is an arithmetic number, because the mean of its divisors is an integer number (701376).

Almost surely, 2^13167126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13167126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16833024).

13167126 is an abundant number, since it is smaller than the sum of its proper divisors (20498922).

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

13167126 is a wasteful number, since it uses less digits than its factorization.

13167126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3414 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 13167126 is about 3628.6534692638. The cubic root of 13167126 is about 236.1367946758.

The spelling of 13167126 in words is "thirteen million, one hundred sixty-seven thousand, one hundred twenty-six".