125378928 has 100 divisors (see below), whose sum is σ = 367297920. Its totient is φ = 41285376.

The previous prime is 125378923. The next prime is 125378933. The reversal of 125378928 is 829873521.

It is a happy number.

125378928 is a `hidden beast` number, since 12 + 537 + 89 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (125378923) and next prime (125378933).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125378923) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 114801 + ... + 115887.

Almost surely, 2^125378928 is an apocalyptic number.

125378928 is a gapful number since it is divisible by the number (18) 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 125378928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183648960).

125378928 is an abundant number, since it is smaller than the sum of its proper divisors (241918992).

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

125378928 is a wasteful number, since it uses less digits than its factorization.

125378928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1181 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 125378928 is about 11197.2732394990. The cubic root of 125378928 is about 500.5047276619.

The spelling of 125378928 in words is "one hundred twenty-five million, three hundred seventy-eight thousand, nine hundred twenty-eight".