125683200 has 180 divisors, whose sum is σ = 450197748. Its totient is φ = 33484800.

The previous prime is 125683199. The next prime is 125683231. The reversal of 125683200 is 2386521.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 114655 + ... + 115745.

Almost surely, 2^125683200 is an apocalyptic number.

125683200 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 125683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225098874).

125683200 is an abundant number, since it is smaller than the sum of its proper divisors (324514548).

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

125683200 is a wasteful number, since it uses less digits than its factorization.

125683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 125683200 is about 11210.8518855616. The cubic root of 125683200 is about 500.9092787552.

The spelling of 125683200 in words is "one hundred twenty-five million, six hundred eighty-three thousand, two hundred".