125260351744 has 144 divisors (see below), whose sum is σ = 282639087360. Its totient is φ = 54902292480.

The previous prime is 125260351693. The next prime is 125260351747. The reversal of 125260351744 is 447153062521.

It is a junction number, because it is equal to n+sod(n) for n = 125260351697 and 125260351706.

It is not an unprimeable number, because it can be changed into a prime (125260351747) 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 15 ways as a sum of consecutive naturals, for example, 11768377 + ... + 11779015.

It is an arithmetic number, because the mean of its divisors is an integer number (1962771440).

Almost surely, 2^125260351744 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 125260351744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141319543680).

125260351744 is an abundant number, since it is smaller than the sum of its proper divisors (157378735616).

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

125260351744 is a wasteful number, since it uses less digits than its factorization.

125260351744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10816 (or 10802 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 125260351744 in words is "one hundred twenty-five billion, two hundred sixty million, three hundred fifty-one thousand, seven hundred forty-four".