125826560 has 80 divisors (see below), whose sum is σ = 314953056. Its totient is φ = 48119808.

The previous prime is 125826541. The next prime is 125826577. The reversal of 125826560 is 65628521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 125826560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57812 + ... + 59948.

Almost surely, 2^125826560 is an apocalyptic number.

125826560 is a gapful number since it is divisible by the number (10) 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 125826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157476528).

125826560 is an abundant number, since it is smaller than the sum of its proper divisors (189126496).

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

125826560 is an equidigital number, since it uses as much as digits as its factorization.

125826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 125826560 is about 11217.2438682593. The cubic root of 125826560 is about 501.0996597240.

The spelling of 125826560 in words is "one hundred twenty-five million, eight hundred twenty-six thousand, five hundred sixty".