125248040565600 has 288 divisors, whose sum is σ = 409016651258880. Its totient is φ = 33290345687040.

The previous prime is 125248040565581. The next prime is 125248040565617. The reversal of 125248040565600 is 6565040842521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 125248040565600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901689754 + ... + 901828646.

It is an arithmetic number, because the mean of its divisors is an integer number (1420196705760).

Almost surely, 2^{125248040565600} is an apocalyptic number.

125248040565600 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 125248040565600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204508325629440).

125248040565600 is an abundant number, since it is smaller than the sum of its proper divisors (283768610693280).

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

125248040565600 is a wasteful number, since it uses less digits than its factorization.

125248040565600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140142 (or 140129 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 125248040565600 in words is "one hundred twenty-five trillion, two hundred forty-eight billion, forty million, five hundred sixty-five thousand, six hundred".