125669880 has 192 divisors, whose sum is σ = 484323840. Its totient is φ = 28708992.

The previous prime is 125669839. The next prime is 125669881. The reversal of 125669880 is 88966521.

125669880 is a `hidden beast` number, since 1 + 2 + 566 + 9 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125669881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67117 + ... + 68963.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2^125669880 is an apocalyptic number.

125669880 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 125669880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242161920).

125669880 is an abundant number, since it is smaller than the sum of its proper divisors (358653960).

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

125669880 is a wasteful number, since it uses less digits than its factorization.

125669880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 125669880 is about 11210.2578025664. The cubic root of 125669880 is about 500.8915825495.

The spelling of 125669880 in words is "one hundred twenty-five million, six hundred sixty-nine thousand, eight hundred eighty".