126525248 has 56 divisors (see below), whose sum is σ = 257632200. Its totient is φ = 61636608.

The previous prime is 126525239. The next prime is 126525263. The reversal of 126525248 is 842525621.

It can be written as a sum of positive squares in 4 ways, for example, as 25080064 + 101445184 = 5008^2 + 10072^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 552398 + ... + 552626.

It is an arithmetic number, because the mean of its divisors is an integer number (4600575).

Almost surely, 2^126525248 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 126525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128816100).

126525248 is an abundant number, since it is smaller than the sum of its proper divisors (131106952).

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

126525248 is an equidigital number, since it uses as much as digits as its factorization.

126525248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 417 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The square root of 126525248 is about 11248.3442337084. The cubic root of 126525248 is about 502.0254480414.

The spelling of 126525248 in words is "one hundred twenty-six million, five hundred twenty-five thousand, two hundred forty-eight".