125050080 has 192 divisors, whose sum is σ = 421521408. Its totient is φ = 31088640.

The previous prime is 125050069. The next prime is 125050091. The reversal of 125050080 is 80050521.

It is an interprime number because it is at equal distance from previous prime (125050069) and next prime (125050091).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 518760 + ... + 519000.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^125050080 is an apocalyptic number.

125050080 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 125050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210760704).

125050080 is an abundant number, since it is smaller than the sum of its proper divisors (296471328).

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

125050080 is a wasteful number, since it uses less digits than its factorization.

125050080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 125050080 is about 11182.5793089072. The cubic root of 125050080 is about 500.0667644180.

The spelling of 125050080 in words is "one hundred twenty-five million, fifty thousand, eighty".