125753744160 has 576 divisors, whose sum is σ = 487670077440. Its totient is φ = 30348794880.

The previous prime is 125753744141. The next prime is 125753744167. The reversal of 125753744160 is 61447357521.

125753744160 is a `hidden beast` number, since 1 + 2 + 57 + 537 + 4 + 4 + 1 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (125753744167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121032921 + ... + 121033959.

It is an arithmetic number, because the mean of its divisors is an integer number (846649440).

Almost surely, 2^125753744160 is an apocalyptic number.

125753744160 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 125753744160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243835038720).

125753744160 is an abundant number, since it is smaller than the sum of its proper divisors (361916333280).

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

125753744160 is a wasteful number, since it uses less digits than its factorization.

125753744160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 125753744160 in words is "one hundred twenty-five billion, seven hundred fifty-three million, seven hundred forty-four thousand, one hundred sixty".