125767680 has 208 divisors, whose sum is σ = 424621440. Its totient is φ = 31719424.

The previous prime is 125767673. The next prime is 125767687. The reversal of 125767680 is 86767521.

It is an interprime number because it is at equal distance from previous prime (125767673) and next prime (125767687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125767687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1413076 + ... + 1413164.

Almost surely, 2^125767680 is an apocalyptic number.

125767680 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 125767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212310720).

125767680 is an abundant number, since it is smaller than the sum of its proper divisors (298853760).

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

125767680 is an equidigital number, since it uses as much as digits as its factorization.

125767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 125767680 is about 11214.6190305333. The cubic root of 125767680 is about 501.0214850488.

The spelling of 125767680 in words is "one hundred twenty-five million, seven hundred sixty-seven thousand, six hundred eighty".