125167768 has 64 divisors (see below), whose sum is σ = 266872320. Its totient is φ = 54537600.

The previous prime is 125167747. The next prime is 125167789. The reversal of 125167768 is 867761521.

It is an interprime number because it is at equal distance from previous prime (125167747) and next prime (125167789).

It is a super-2 number, since 2×125167768² = 31333940292203648, 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 15 ways as a sum of consecutive naturals, for example, 218923 + ... + 219493.

It is an arithmetic number, because the mean of its divisors is an integer number (4169880).

Almost surely, 2^125167768 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 125167768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133436160).

125167768 is an abundant number, since it is smaller than the sum of its proper divisors (141704552).

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

125167768 is a wasteful number, since it uses less digits than its factorization.

125167768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its digits is 141120, while the sum is 43.

The square root of 125167768 is about 11187.8401847720. The cubic root of 125167768 is about 500.2235906662.

The spelling of 125167768 in words is "one hundred twenty-five million, one hundred sixty-seven thousand, seven hundred sixty-eight".