125305749504000 has 1008 divisors, whose sum is σ = 486579767061024. Its totient is φ = 30840717312000.

The previous prime is 125305749503927. The next prime is 125305749504071. The reversal of 125305749504000 is 405947503521.

125305749504000 is a `hidden beast` number, since 1 + 2 + 5 + 30 + 574 + 9 + 5 + 0 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15335419915 + ... + 15335428085.

It is an arithmetic number, because the mean of its divisors is an integer number (482718022878).

Almost surely, 2^{125305749504000} is an apocalyptic number.

125305749504000 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 125305749504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243289883530512).

125305749504000 is an abundant number, since it is smaller than the sum of its proper divisors (361274017557024).

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

125305749504000 is an frugal number, since it uses more digits than its factorization.

125305749504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8245 (or 8194 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 125305749504000 in words is "one hundred twenty-five trillion, three hundred five billion, seven hundred forty-nine million, five hundred four thousand".