125306080 has 48 divisors (see below), whose sum is σ = 300479760. Its totient is φ = 49370112.

The previous prime is 125306059. The next prime is 125306081. The reversal of 125306080 is 80603521.

It is a happy number.

It is a super-2 number, since 2×125306080² = 31403227369932800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125306081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4876 + ... + 16564.

It is an arithmetic number, because the mean of its divisors is an integer number (6259995).

Almost surely, 2^125306080 is an apocalyptic number.

125306080 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 125306080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150239880).

125306080 is an abundant number, since it is smaller than the sum of its proper divisors (175173680).

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

125306080 is a wasteful number, since it uses less digits than its factorization.

125306080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11771 (or 11763 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 125306080 is about 11194.0198320353. The cubic root of 125306080 is about 500.4077740170.

The spelling of 125306080 in words is "one hundred twenty-five million, three hundred six thousand, eighty".