125200080 has 150 divisors (see below), whose sum is σ = 437989266. Its totient is φ = 33146496.

The previous prime is 125200073. The next prime is 125200091. The reversal of 125200080 is 80002521.

It can be written as a sum of positive squares in only one way, i.e., 100160064 + 25040016 = 10008^2 + 5004^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 900651 + ... + 900789.

Almost surely, 2^125200080 is an apocalyptic number.

125200080 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 125200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218994633).

125200080 is an abundant number, since it is smaller than the sum of its proper divisors (312789186).

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

125200080 is an equidigital number, since it uses as much as digits as its factorization.

125200080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 125200080 is about 11189.2841594089. The cubic root of 125200080 is about 500.2666311237.

The spelling of 125200080 in words is "one hundred twenty-five million, two hundred thousand, eighty".