125413282176 has 256 divisors, whose sum is σ = 415787904000. Its totient is φ = 32609525760.

The previous prime is 125413282133. The next prime is 125413282199. The reversal of 125413282176 is 671282314521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2455750 + ... + 2506298.

It is an arithmetic number, because the mean of its divisors is an integer number (1624171500).

Almost surely, 2^125413282176 is an apocalyptic number.

125413282176 is a gapful number since it is divisible by the number (16) 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 125413282176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207893952000).

125413282176 is an abundant number, since it is smaller than the sum of its proper divisors (290374621824).

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

125413282176 is a wasteful number, since it uses less digits than its factorization.

125413282176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50657 (or 50645 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

Adding to 125413282176 its reverse (671282314521), we get a palindrome (796695596697).

The spelling of 125413282176 in words is "one hundred twenty-five billion, four hundred thirteen million, two hundred eighty-two thousand, one hundred seventy-six".