125605656 has 192 divisors, whose sum is σ = 414460800. Its totient is φ = 33868800.

The previous prime is 125605633. The next prime is 125605663. The reversal of 125605656 is 656506521.

It is a happy number.

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 125605656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255571 + ... + 256061.

It is an arithmetic number, because the mean of its divisors is an integer number (2158650).

Almost surely, 2^125605656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125605656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207230400).

125605656 is an abundant number, since it is smaller than the sum of its proper divisors (288855144).

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

125605656 is a wasteful number, since it uses less digits than its factorization.

125605656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 125605656 is about 11207.3929171775. The cubic root of 125605656 is about 500.8062405868.

The spelling of 125605656 in words is "one hundred twenty-five million, six hundred five thousand, six hundred fifty-six".