125351404050304 has 64 divisors (see below), whose sum is σ = 252071465270400. Its totient is φ = 62088319098880.

The previous prime is 125351404050281. The next prime is 125351404050311. The reversal of 125351404050304 is 403050404153521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 938124 + ... + 15861364.

It is an arithmetic number, because the mean of its divisors is an integer number (3938616644850).

Almost surely, 2^{125351404050304} 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 125351404050304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126035732635200).

125351404050304 is an abundant number, since it is smaller than the sum of its proper divisors (126720061220096).

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

125351404050304 is a wasteful number, since it uses less digits than its factorization.

125351404050304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14923871 (or 14923859 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 125351404050304 in words is "one hundred twenty-five trillion, three hundred fifty-one billion, four hundred four million, fifty thousand, three hundred four".