125690880 has 264 divisors, whose sum is σ = 470449728. Its totient is φ = 28557312.

The previous prime is 125690863. The next prime is 125690881. The reversal of 125690880 is 88096521.

It is not an unprimeable number, because it can be changed into a prime (125690881) 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 23 ways as a sum of consecutive naturals, for example, 752557 + ... + 752723.

Almost surely, 2^125690880 is an apocalyptic number.

125690880 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 125690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235224864).

125690880 is an abundant number, since it is smaller than the sum of its proper divisors (344758848).

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

125690880 is a wasteful number, since it uses less digits than its factorization.

125690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 125690880 is about 11211.1944055930. The cubic root of 125690880 is about 500.9194814047.

The spelling of 125690880 in words is "one hundred twenty-five million, six hundred ninety thousand, eight hundred eighty".