126265248 has 72 divisors (see below), whose sum is σ = 360648288. Its totient is φ = 41903232.

The previous prime is 126265247. The next prime is 126265259. The reversal of 126265248 is 842562621.

It is a happy number.

126265248 is a `hidden beast` number, since 1 + 2 + 626 + 5 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126265247) 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 11 ways as a sum of consecutive naturals, for example, 74911 + ... + 76577.

It is an arithmetic number, because the mean of its divisors is an integer number (5009004).

Almost surely, 2^126265248 is an apocalyptic number.

126265248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126265248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180324144).

126265248 is an abundant number, since it is smaller than the sum of its proper divisors (234383040).

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

126265248 is a wasteful number, since it uses less digits than its factorization.

126265248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1935 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 126265248 is about 11236.7810337303. The cubic root of 126265248 is about 501.6813372064.

The spelling of 126265248 in words is "one hundred twenty-six million, two hundred sixty-five thousand, two hundred forty-eight".