125981205354 has 96 divisors (see below), whose sum is σ = 286374756096. Its totient is φ = 39987198720.

The previous prime is 125981205349. The next prime is 125981205409. The reversal of 125981205354 is 453502189521.

125981205354 is a `hidden beast` number, since 1 + 2 + 5 + 98 + 1 + 20 + 535 + 4 = 666.

125981205354 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6468459 + ... + 6487905.

It is an arithmetic number, because the mean of its divisors is an integer number (2983070376).

Almost surely, 2^125981205354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125981205354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143187378048).

125981205354 is an abundant number, since it is smaller than the sum of its proper divisors (160393550742).

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

125981205354 is a wasteful number, since it uses less digits than its factorization.

125981205354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19700 (or 19697 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 125981205354 in words is "one hundred twenty-five billion, nine hundred eighty-one million, two hundred five thousand, three hundred fifty-four".