125006880 has 144 divisors (see below), whose sum is σ = 408385152. Its totient is φ = 32140800.

The previous prime is 125006867. The next prime is 125006897. The reversal of 125006880 is 88600521.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 461145 + ... + 461415.

It is an arithmetic number, because the mean of its divisors is an integer number (2836008).

Almost surely, 2^125006880 is an apocalyptic number.

125006880 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 125006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204192576).

125006880 is an abundant number, since it is smaller than the sum of its proper divisors (283378272).

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

125006880 is a wasteful number, since it uses less digits than its factorization.

125006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 125006880 is about 11180.6475662191. The cubic root of 125006880 is about 500.0091731650.

The spelling of 125006880 in words is "one hundred twenty-five million, six thousand, eight hundred eighty".