125354413224 has 192 divisors, whose sum is σ = 364674960000. Its totient is φ = 38778794496.

The previous prime is 125354413207. The next prime is 125354413231. The reversal of 125354413224 is 422314453521.

It is a happy number.

125354413224 is a `hidden beast` number, since 12 + 5 + 3 + 5 + 4 + 413 + 224 = 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 47 ways as a sum of consecutive naturals, for example, 80406157 + ... + 80407715.

It is an arithmetic number, because the mean of its divisors is an integer number (1899348750).

Almost surely, 2^125354413224 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 125354413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182337480000).

125354413224 is an abundant number, since it is smaller than the sum of its proper divisors (239320546776).

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

125354413224 is a wasteful number, since it uses less digits than its factorization.

125354413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2745 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 125354413224 its reverse (422314453521), we get a palindrome (547668866745).

The spelling of 125354413224 in words is "one hundred twenty-five billion, three hundred fifty-four million, four hundred thirteen thousand, two hundred twenty-four".