125635680 has 144 divisors (see below), whose sum is σ = 438918480. Its totient is φ = 32707584.

The previous prime is 125635669. The next prime is 125635703. The reversal of 125635680 is 86536521.

125635680 is a `hidden beast` number, since 12 + 5 + 635 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 60906 + ... + 62934.

It is an arithmetic number, because the mean of its divisors is an integer number (3048045).

Almost surely, 2^125635680 is an apocalyptic number.

125635680 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 125635680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219459240).

125635680 is an abundant number, since it is smaller than the sum of its proper divisors (313282800).

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

125635680 is a wasteful number, since it uses less digits than its factorization.

125635680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 125635680 is about 11208.7323101232. The cubic root of 125635680 is about 500.8461406177.

The spelling of 125635680 in words is "one hundred twenty-five million, six hundred thirty-five thousand, six hundred eighty".