125825280 has 288 divisors, whose sum is σ = 477216768. Its totient is φ = 27648000.

The previous prime is 125825257. The next prime is 125825303. The reversal of 125825280 is 82528521.

It is an interprime number because it is at equal distance from previous prime (125825257) and next prime (125825303).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833205 + ... + 833355.

Almost surely, 2^125825280 is an apocalyptic number.

125825280 is a gapful number since it is divisible by the number (10) 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 125825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238608384).

125825280 is an abundant number, since it is smaller than the sum of its proper divisors (351391488).

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

125825280 is a wasteful number, since it uses less digits than its factorization.

125825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 125825280 is about 11217.1868131007. The cubic root of 125825280 is about 501.0979605339.

The spelling of 125825280 in words is "one hundred twenty-five million, eight hundred twenty-five thousand, two hundred eighty".