126010456 has 96 divisors (see below), whose sum is σ = 287895600. Its totient is φ = 51217920.

The previous prime is 126010439. The next prime is 126010457. The reversal of 126010456 is 654010621.

It is a self number, because there is not a number n which added to its sum of digits gives 126010456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126010457) by changing a digit.

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, 550150 + ... + 550378.

Almost surely, 2^126010456 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 126010456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143947800).

126010456 is an abundant number, since it is smaller than the sum of its proper divisors (161885144).

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

126010456 is a wasteful number, since it uses less digits than its factorization.

126010456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 126010456 is about 11225.4378979174. The cubic root of 126010456 is about 501.3436605846.

The spelling of 126010456 in words is "one hundred twenty-six million, ten thousand, four hundred fifty-six".