125650800 has 360 divisors, whose sum is σ = 503717760. Its totient is φ = 28684800.

The previous prime is 125650753. The next prime is 125650829. The reversal of 125650800 is 8056521.

125650800 is a `hidden beast` number, since 1 + 2 + 5 + 650 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 752317 + ... + 752483.

It is an arithmetic number, because the mean of its divisors is an integer number (1399216).

Almost surely, 2^125650800 is an apocalyptic number.

125650800 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 125650800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251858880).

125650800 is an abundant number, since it is smaller than the sum of its proper divisors (378066960).

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

125650800 is a wasteful number, since it uses less digits than its factorization.

125650800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

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

The square root of 125650800 is about 11209.4067639639. The cubic root of 125650800 is about 500.8662317518.

The spelling of 125650800 in words is "one hundred twenty-five million, six hundred fifty thousand, eight hundred".