125905748224 has 81 divisors (see below), whose sum is σ = 255899806911. Its totient is φ = 61825927680.

The previous prime is 125905748201. The next prime is 125905748233. The reversal of 125905748224 is 422847509521.

The square root of 125905748224 is 354832.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 380379739 + ... + 380380069.

Almost surely, 2^125905748224 is an apocalyptic number.

125905748224 is the 354832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125905748224

125905748224 is an abundant number, since it is smaller than the sum of its proper divisors (129994058687).

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

125905748224 is an frugal number, since it uses more digits than its factorization.

125905748224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 125905748224 by its sum of digits (49), we get a square (6169381662976 = 2483824²).

The spelling of 125905748224 in words is "one hundred twenty-five billion, nine hundred five million, seven hundred forty-eight thousand, two hundred twenty-four".