125947202304 has 432 divisors, whose sum is σ = 433927791360. Its totient is φ = 31468953600.

The previous prime is 125947202279. The next prime is 125947202309. The reversal of 125947202304 is 403202749521.

It is not an unprimeable number, because it can be changed into a prime (125947202309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464749689 + ... + 464749959.

It is an arithmetic number, because the mean of its divisors is an integer number (1004462480).

Almost surely, 2^125947202304 is an apocalyptic number.

125947202304 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 125947202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216963895680).

125947202304 is an abundant number, since it is smaller than the sum of its proper divisors (307980589056).

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

125947202304 is an equidigital number, since it uses as much as digits as its factorization.

125947202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 125947202304 in words is "one hundred twenty-five billion, nine hundred forty-seven million, two hundred two thousand, three hundred four".