125066800 has 60 divisors (see below), whose sum is σ = 302230656. Its totient is φ = 49734400.

The previous prime is 125066789. The next prime is 125066813. The reversal of 125066800 is 8660521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75582 + ... + 77218.

Almost surely, 2^125066800 is an apocalyptic number.

125066800 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 125066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151115328).

125066800 is an abundant number, since it is smaller than the sum of its proper divisors (177163856).

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

125066800 is a wasteful number, since it uses less digits than its factorization.

125066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 125066800 is about 11183.3268753086. The cubic root of 125066800 is about 500.0890508056.

It can be divided in two parts, 12506 and 6800, that added together give a triangular number (19306 = T₁₉₆).

The spelling of 125066800 in words is "one hundred twenty-five million, sixty-six thousand, eight hundred".