125352576 has 256 divisors, whose sum is σ = 411264000. Its totient is φ = 37407744.

The previous prime is 125352571. The next prime is 125352583. The reversal of 125352576 is 675253521.

125352576 is a `hidden beast` number, since 12 + 53 + 525 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125352576.

It is not an unprimeable number, because it can be changed into a prime (125352571) 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 31 ways as a sum of consecutive naturals, for example, 1510231 + ... + 1510313.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^125352576 is an apocalyptic number.

125352576 is a gapful number since it is divisible by the number (16) 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 125352576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

125352576 is an abundant number, since it is smaller than the sum of its proper divisors (285911424).

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

125352576 is a wasteful number, since it uses less digits than its factorization.

125352576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 125352576 is about 11196.0964626070. The cubic root of 125352576 is about 500.4696600341.

The spelling of 125352576 in words is "one hundred twenty-five million, three hundred fifty-two thousand, five hundred seventy-six".