125741643552 has 144 divisors (see below), whose sum is σ = 411404011200. Its totient is φ = 35684983296.

The previous prime is 125741643551. The next prime is 125741643589. The reversal of 125741643552 is 255346147521.

125741643552 is a `hidden beast` number, since 1 + 2 + 57 + 4 + 1 + 6 + 43 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 125741643498 and 125741643507.

It is not an unprimeable number, because it can be changed into a prime (125741643551) 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 23 ways as a sum of consecutive naturals, for example, 91083 + ... + 509685.

It is an arithmetic number, because the mean of its divisors is an integer number (2856972300).

Almost surely, 2^125741643552 is an apocalyptic number.

125741643552 is a gapful number since it is divisible by the number (12) 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 125741643552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205702005600).

125741643552 is an abundant number, since it is smaller than the sum of its proper divisors (285662367648).

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

125741643552 is a wasteful number, since it uses less digits than its factorization.

125741643552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418775 (or 418764 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 125741643552 in words is "one hundred twenty-five billion, seven hundred forty-one million, six hundred forty-three thousand, five hundred fifty-two".