125826048 has 220 divisors, whose sum is σ = 395308452. Its totient is φ = 39813120.

The previous prime is 125826013. The next prime is 125826053. The reversal of 125826048 is 840628521.

125826048 is a `hidden beast` number, since 12 + 582 + 60 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 69755904 = 7488^2 + 8352^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3068908 + ... + 3068948.

Almost surely, 2^125826048 is an apocalyptic number.

125826048 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 125826048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197654226).

125826048 is an abundant number, since it is smaller than the sum of its proper divisors (269482404).

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

125826048 is an equidigital number, since it uses as much as digits as its factorization.

125826048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 125826048 is about 11217.2210462307. The cubic root of 125826048 is about 501.0989800493.

The spelling of 125826048 in words is "one hundred twenty-five million, eight hundred twenty-six thousand, forty-eight".