126178431225 has 288 divisors, whose sum is σ = 276122898432. Its totient is φ = 50218560000.

The previous prime is 126178431217. The next prime is 126178431329. The reversal of 126178431225 is 522134871621.

It is not a de Polignac number, because 126178431225 - 2³ = 126178431217 is a prime.

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 287 ways as a sum of consecutive naturals, for example, 134089255 + ... + 134090195.

It is an arithmetic number, because the mean of its divisors is an integer number (958760064).

Almost surely, 2^126178431225 is an apocalyptic number.

126178431225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126178431225 is an abundant number, since it is smaller than the sum of its proper divisors (149944467207).

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

126178431225 is a wasteful number, since it uses less digits than its factorization.

126178431225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1105 counting only the distinct ones).

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

The spelling of 126178431225 in words is "one hundred twenty-six billion, one hundred seventy-eight million, four hundred thirty-one thousand, two hundred twenty-five".