126268002 has 72 divisors (see below), whose sum is σ = 320112000. Its totient is φ = 35865648.

The previous prime is 126267989. The next prime is 126268003. The reversal of 126268002 is 200862621.

It is not an unprimeable number, because it can be changed into a prime (126268003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 210499 + ... + 211097.

It is an arithmetic number, because the mean of its divisors is an integer number (4446000).

Almost surely, 2^126268002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126268002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160056000).

126268002 is an abundant number, since it is smaller than the sum of its proper divisors (193843998).

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

126268002 is a wasteful number, since it uses less digits than its factorization.

126268002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 126268002 is about 11236.9035770536. The cubic root of 126268002 is about 501.6849846085.

The spelling of 126268002 in words is "one hundred twenty-six million, two hundred sixty-eight thousand, two".