125728913840 has 40 divisors (see below), whose sum is σ = 294422770320. Its totient is φ = 49929751296.

The previous prime is 125728913789. The next prime is 125728913867. The reversal of 125728913840 is 48319827521.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×125728913840³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 5642159 + ... + 5664398.

It is an arithmetic number, because the mean of its divisors is an integer number (7360569258).

Almost surely, 2^125728913840 is an apocalyptic number.

125728913840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125728913840 is an abundant number, since it is smaller than the sum of its proper divisors (168693856480).

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

125728913840 is a wasteful number, since it uses less digits than its factorization.

125728913840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11306709 (or 11306703 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 125728913840 in words is "one hundred twenty-five billion, seven hundred twenty-eight million, nine hundred thirteen thousand, eight hundred forty".