125687328 has 144 divisors (see below), whose sum is σ = 365976576. Its totient is φ = 37739520.

The previous prime is 125687321. The next prime is 125687351. The reversal of 125687328 is 823786521.

It is a self number, because there is not a number n which added to its sum of digits gives 125687328.

It is not an unprimeable number, because it can be changed into a prime (125687321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 989601 + ... + 989727.

It is an arithmetic number, because the mean of its divisors is an integer number (2541504).

Almost surely, 2^125687328 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 125687328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182988288).

125687328 is an abundant number, since it is smaller than the sum of its proper divisors (240289248).

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

125687328 is a wasteful number, since it uses less digits than its factorization.

125687328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 206 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 125687328 is about 11211.0359913792. The cubic root of 125687328 is about 500.9147627310.

The spelling of 125687328 in words is "one hundred twenty-five million, six hundred eighty-seven thousand, three hundred twenty-eight".