125105430528 has 280 divisors, whose sum is σ = 402526640208. Its totient is φ = 38491324416.

The previous prime is 125105430521. The next prime is 125105430547. The reversal of 125105430528 is 825034501521.

125105430528 is a `hidden beast` number, since 1 + 2 + 51 + 0 + 54 + 30 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 125105430492 and 125105430501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125105430521) 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 19 ways as a sum of consecutive naturals, for example, 8618925 + ... + 8633427.

Almost surely, 2^125105430528 is an apocalyptic number.

125105430528 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 125105430528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201263320104).

125105430528 is an abundant number, since it is smaller than the sum of its proper divisors (277421209680).

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

125105430528 is an equidigital number, since it uses as much as digits as its factorization.

125105430528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14554 (or 14521 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 125105430528 in words is "one hundred twenty-five billion, one hundred five million, four hundred thirty thousand, five hundred twenty-eight".