125056800 has 216 divisors, whose sum is σ = 481375440. Its totient is φ = 30297600.

The previous prime is 125056793. The next prime is 125056807. The reversal of 125056800 is 8650521.

It is an interprime number because it is at equal distance from previous prime (125056793) and next prime (125056807).

It is not an unprimeable number, because it can be changed into a prime (125056807) 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 35 ways as a sum of consecutive naturals, for example, 78411 + ... + 79989.

It is an arithmetic number, because the mean of its divisors is an integer number (2228590).

Almost surely, 2^125056800 is an apocalyptic number.

125056800 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 125056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240687720).

125056800 is an abundant number, since it is smaller than the sum of its proper divisors (356318640).

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

125056800 is a wasteful number, since it uses less digits than its factorization.

125056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 125056800 is about 11182.8797722233. The cubic root of 125056800 is about 500.0757218652.

The spelling of 125056800 in words is "one hundred twenty-five million, fifty-six thousand, eight hundred".