125968768 has 64 divisors (see below), whose sum is σ = 259096320. Its totient is φ = 60981760.

The previous prime is 125968747. The next prime is 125968771. The reversal of 125968768 is 867869521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×125968768² = 31736261022875648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 754221 + ... + 754387.

It is an arithmetic number, because the mean of its divisors is an integer number (4048380).

Almost surely, 2^125968768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548160).

125968768 is an abundant number, since it is smaller than the sum of its proper divisors (133127552).

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

125968768 is an equidigital number, since it uses as much as digits as its factorization.

125968768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 52.

The square root of 125968768 is about 11223.5808902507. The cubic root of 125968768 is about 501.2883680309.

It can be divided in two parts, 125968 and 768, that added together give a square (126736 = 356²).

The spelling of 125968768 in words is "one hundred twenty-five million, nine hundred sixty-eight thousand, seven hundred sixty-eight".