125744256000000 has 1176 divisors, whose sum is σ = 495369502001712. Its totient is φ = 30480384000000.

The previous prime is 125744255999981. The next prime is 125744256000047. The reversal of 125744256000000 is 652447521.

It is a happy number.

125744256000000 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 4 + 42 + 5 + 600 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12671995039 + ... + 12672004961.

Almost surely, 2^{125744256000000} is an apocalyptic number.

125744256000000 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 125744256000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247684751000856).

125744256000000 is an abundant number, since it is smaller than the sum of its proper divisors (369625246001712).

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

125744256000000 is an frugal number, since it uses more digits than its factorization.

125744256000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9996 (or 9944 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 125744256000000 in words is "one hundred twenty-five trillion, seven hundred forty-four billion, two hundred fifty-six million", and thus it is an aban number.