125000800 has 144 divisors (see below), whose sum is σ = 324166752. Its totient is φ = 47001600.

The previous prime is 125000789. The next prime is 125000801. The reversal of 125000800 is 8000521.

It is a happy number.

It is a sliding number, since 125000800 = 800 + 125000000 and 1/800 + 1/125000000 = 0.00125000800.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125000801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213549 + ... + 1213651.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2^125000800 is an apocalyptic number.

125000800 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 125000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162083376).

125000800 is an abundant number, since it is smaller than the sum of its proper divisors (199165952).

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

125000800 is a wasteful number, since it uses less digits than its factorization.

125000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 125000800 is about 11180.3756645293. The cubic root of 125000800 is about 500.0010666644.

It can be divided in two parts, 125000 and 800, that multiplied together give a 8-th power (100000000 = 10⁸).

The spelling of 125000800 in words is "one hundred twenty-five million, eight hundred", and thus it is an aban number.