125466820128 has 960 divisors, whose sum is σ = 448129946880. Its totient is φ = 34042871808.

The previous prime is 125466820123. The next prime is 125466820133. The reversal of 125466820128 is 821028664521.

125466820128 is a `hidden beast` number, since 1 + 2 + 546 + 6 + 82 + 0 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (125466820123) and next prime (125466820133).

It is not an unprimeable number, because it can be changed into a prime (125466820123) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1172587051 + ... + 1172587157.

It is an arithmetic number, because the mean of its divisors is an integer number (466802028).

Almost surely, 2^125466820128 is an apocalyptic number.

125466820128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125466820128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224064973440).

125466820128 is an abundant number, since it is smaller than the sum of its proper divisors (322663126752).

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

125466820128 is a wasteful number, since it uses less digits than its factorization.

125466820128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 125466820128 in words is "one hundred twenty-five billion, four hundred sixty-six million, eight hundred twenty thousand, one hundred twenty-eight".