125082006768 has 90 divisors (see below), whose sum is σ = 371858806904. Its totient is φ = 39241400832.

The previous prime is 125082006727. The next prime is 125082006769. The reversal of 125082006768 is 867600280521.

125082006768 is a `hidden beast` number, since 1 + 2 + 508 + 20 + 0 + 67 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125082006769) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1461196 + ... + 1544427.

Almost surely, 2^125082006768 is an apocalyptic number.

125082006768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125082006768 is an abundant number, since it is smaller than the sum of its proper divisors (246776800136).

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

125082006768 is a wasteful number, since it uses less digits than its factorization.

125082006768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005671 (or 3005645 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 125082006768 in words is "one hundred twenty-five billion, eighty-two million, six thousand, seven hundred sixty-eight".