125747282304 has 768 divisors, whose sum is σ = 457119936000. Its totient is φ = 33610235904.

The previous prime is 125747282257. The next prime is 125747282317. The reversal of 125747282304 is 403282747521.

125747282304 is a `hidden beast` number, since 1 + 2 + 574 + 72 + 8 + 2 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 125747282304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 467461882 + ... + 467462150.

It is an arithmetic number, because the mean of its divisors is an integer number (595208250).

Almost surely, 2^125747282304 is an apocalyptic number.

125747282304 is a gapful number since it is divisible by the number (14) 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 125747282304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228559968000).

125747282304 is an abundant number, since it is smaller than the sum of its proper divisors (331372653696).

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

125747282304 is a wasteful number, since it uses less digits than its factorization.

125747282304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 125747282304 in words is "one hundred twenty-five billion, seven hundred forty-seven million, two hundred eighty-two thousand, three hundred four".