125897200 has 240 divisors, whose sum is σ = 371976192. Its totient is φ = 40320000.

The previous prime is 125897141. The next prime is 125897237. The reversal of 125897200 is 2798521.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1773165 + ... + 1773235.

Almost surely, 2^125897200 is an apocalyptic number.

125897200 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 125897200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185988096).

125897200 is an abundant number, since it is smaller than the sum of its proper divisors (246078992).

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

125897200 is a wasteful number, since it uses less digits than its factorization.

125897200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 125897200 is about 11220.3921500097. The cubic root of 125897200 is about 501.1934159173.

The spelling of 125897200 in words is "one hundred twenty-five million, eight hundred ninety-seven thousand, two hundred".