125841257152 has 112 divisors (see below), whose sum is σ = 284058514432. Its totient is φ = 54899389440.

The previous prime is 125841257149. The next prime is 125841257189. The reversal of 125841257152 is 251752148521.

It is a happy number.

125841257152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×125841257152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 125841257099 and 125841257108.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1052323 + ... + 1165789.

It is an arithmetic number, because the mean of its divisors is an integer number (2536236736).

Almost surely, 2^125841257152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125841257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142029257216).

125841257152 is an abundant number, since it is smaller than the sum of its proper divisors (158217257280).

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

125841257152 is a wasteful number, since it uses less digits than its factorization.

125841257152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113566 (or 113556 counting only the distinct ones).

The product of its digits is 224000, while the sum is 43.

The spelling of 125841257152 in words is "one hundred twenty-five billion, eight hundred forty-one million, two hundred fifty-seven thousand, one hundred fifty-two".