125548200 has 144 divisors (see below), whose sum is σ = 443944800. Its totient is φ = 31708800.

The previous prime is 125548193. The next prime is 125548201. The reversal of 125548200 is 2845521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (125548201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32365 + ... + 36035.

It is an arithmetic number, because the mean of its divisors is an integer number (3082950).

Almost surely, 2^125548200 is an apocalyptic number.

125548200 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 125548200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221972400).

125548200 is an abundant number, since it is smaller than the sum of its proper divisors (318396600).

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

125548200 is a wasteful number, since it uses less digits than its factorization.

125548200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 125548200 is about 11204.8293159691. The cubic root of 125548200 is about 500.7298674021.

It can be divided in two parts, 1255 and 48200, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 125548200 in words is "one hundred twenty-five million, five hundred forty-eight thousand, two hundred".