125000000800 has 72 divisors (see below), whose sum is σ = 313403792436. Its totient is φ = 48648637440.

The previous prime is 125000000747. The next prime is 125000000813. The reversal of 125000000800 is 8000000521.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 99131781904 + 25868218896 = 314852^2 + 160836^2 .

It is a sliding number, since 125000000800 = 800 + 125000000000 and 1/800 + 1/125000000000 = 0.00125000000800.

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

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, 2081887 + ... + 2141086.

Almost surely, 2^125000000800 is an apocalyptic number.

125000000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125000000800 is an abundant number, since it is smaller than the sum of its proper divisors (188403791636).

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

125000000800 is a wasteful number, since it uses less digits than its factorization.

125000000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223030 (or 4223017 counting only the distinct ones).

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

It can be divided in two parts, 125000000 and 800, that multiplied together give a 11-th power (100000000000 = 10¹¹).

The spelling of 125000000800 in words is "one hundred twenty-five billion, eight hundred", and thus it is an aban number.