125008000 has 128 divisors (see below), whose sum is σ = 335265840. Its totient is φ = 46080000.

The previous prime is 125007989. The next prime is 125008007. The reversal of 125008000 is 800521.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3655744 + 121352256 = 1912^2 + 11016^2 .

It is a sliding number, since 125008000 = 8000 + 125000000 and 1/8000 + 1/125000000 = 0.000125008000.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (125008007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207700 + ... + 208300.

Almost surely, 2^125008000 is an apocalyptic number.

125008000 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 125008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167632920).

125008000 is an abundant number, since it is smaller than the sum of its proper divisors (210257840).

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

125008000 is an equidigital number, since it uses as much as digits as its factorization.

125008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 621 counting only the distinct ones).

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

The square root of 125008000 is about 11180.6976526512. The cubic root of 125008000 is about 500.0106664391.

Adding to 125008000 its reverse (800521), we get a palindrome (125808521).

It can be divided in two parts, 12500 and 8000, that multiplied together give a 8-th power (100000000 = 10⁸).

The spelling of 125008000 in words is "one hundred twenty-five million, eight thousand".