125827520 has 224 divisors, whose sum is σ = 384048000. Its totient is φ = 38191104.

The previous prime is 125827511. The next prime is 125827531. The reversal of 125827520 is 25728521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844406 + ... + 844554.

It is an arithmetic number, because the mean of its divisors is an integer number (1714500).

Almost surely, 2^125827520 is an apocalyptic number.

125827520 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 125827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192024000).

125827520 is an abundant number, since it is smaller than the sum of its proper divisors (258220480).

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

125827520 is a wasteful number, since it uses less digits than its factorization.

125827520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 125827520 is about 11217.2866594377. The cubic root of 125827520 is about 501.1009341090.

It can be divided in two parts, 12582 and 7520, that added together give a palindrome (20102).

The spelling of 125827520 in words is "one hundred twenty-five million, eight hundred twenty-seven thousand, five hundred twenty".