125006928 has 80 divisors (see below), whose sum is σ = 343222080. Its totient is φ = 39094272.

The previous prime is 125006927. The next prime is 125006957. The reversal of 125006928 is 829600521.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125006927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102450 + ... + 103662.

It is an arithmetic number, because the mean of its divisors is an integer number (4290276).

Almost surely, 2^125006928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125006928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171611040).

125006928 is an abundant number, since it is smaller than the sum of its proper divisors (218215152).

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

125006928 is a wasteful number, since it uses less digits than its factorization.

125006928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 125006928 is about 11180.6497127850. The cubic root of 125006928 is about 500.0092371627.

The spelling of 125006928 in words is "one hundred twenty-five million, six thousand, nine hundred twenty-eight".