126300403125 has 216 divisors, whose sum is σ = 257102622504. Its totient is φ = 59384160000.

The previous prime is 126300403123. The next prime is 126300403139. The reversal of 126300403125 is 521304003621.

126300403125 is a `hidden beast` number, since 1 + 2 + 6 + 300 + 40 + 312 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 115387257969 + 10913145156 = 339687^2 + 104466^2 .

It is not a de Polignac number, because 126300403125 - 2¹ = 126300403123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126300403123) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 193415299 + ... + 193415951.

It is an arithmetic number, because the mean of its divisors is an integer number (1190289919).

Almost surely, 2^126300403125 is an apocalyptic number.

126300403125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126300403125 is an abundant number, since it is smaller than the sum of its proper divisors (130802219379).

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

126300403125 is an equidigital number, since it uses as much as digits as its factorization.

126300403125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 126300403125 its reverse (521304003621), we get a palindrome (647604406746).

The spelling of 126300403125 in words is "one hundred twenty-six billion, three hundred million, four hundred three thousand, one hundred twenty-five".