125138700527280 has 640 divisors, whose sum is σ = 431384869601280. Its totient is φ = 29756459335680.

The previous prime is 125138700527261. The next prime is 125138700527327. The reversal of 125138700527280 is 82725007831521.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15874498219 + ... + 15874506101.

It is an arithmetic number, because the mean of its divisors is an integer number (674038858752).

Almost surely, 2^{125138700527280} is an apocalyptic number.

125138700527280 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 125138700527280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215692434800640).

125138700527280 is an abundant number, since it is smaller than the sum of its proper divisors (306246169074000).

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

125138700527280 is a wasteful number, since it uses less digits than its factorization.

125138700527280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8569 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 51.

The spelling of 125138700527280 in words is "one hundred twenty-five trillion, one hundred thirty-eight billion, seven hundred million, five hundred twenty-seven thousand, two hundred eighty".