125378880 has 224 divisors, whose sum is σ = 449445888. Its totient is φ = 29337600.

The previous prime is 125378863. The next prime is 125378899. The reversal of 125378880 is 88873521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327169 + ... + 327551.

Almost surely, 2^125378880 is an apocalyptic number.

125378880 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 125378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224722944).

125378880 is an abundant number, since it is smaller than the sum of its proper divisors (324067008).

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

125378880 is a wasteful number, since it uses less digits than its factorization.

125378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 125378880 is about 11197.2710961198. The cubic root of 125378880 is about 500.5046637909.

The spelling of 125378880 in words is "one hundred twenty-five million, three hundred seventy-eight thousand, eight hundred eighty".