126346528 has 96 divisors (see below), whose sum is σ = 317011968. Its totient is φ = 48134400.

The previous prime is 126346511. The next prime is 126346529. The reversal of 126346528 is 825643621.

It is not an unprimeable number, because it can be changed into a prime (126346529) 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 15 ways as a sum of consecutive naturals, for example, 115263 + ... + 116353.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208).

Almost surely, 2^126346528 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 126346528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

126346528 is an abundant number, since it is smaller than the sum of its proper divisors (190665440).

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

126346528 is a wasteful number, since it uses less digits than its factorization.

126346528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 126346528 is about 11240.3971460087. The cubic root of 126346528 is about 501.7889622609.

The spelling of 126346528 in words is "one hundred twenty-six million, three hundred forty-six thousand, five hundred twenty-eight".