126380665125 has 320 divisors, whose sum is σ = 278859829248. Its totient is φ = 56142720000.

The previous prime is 126380665123. The next prime is 126380665129. The reversal of 126380665125 is 521566083621.

126380665125 is a `hidden beast` number, since 1 + 2 + 638 + 0 + 6 + 6 + 5 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 126380665125 - 2¹ = 126380665123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126380665123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 276543897 + ... + 276544353.

Almost surely, 2^126380665125 is an apocalyptic number.

126380665125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126380665125 is an abundant number, since it is smaller than the sum of its proper divisors (152479164123).

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

126380665125 is a wasteful number, since it uses less digits than its factorization.

126380665125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 126380665125 in words is "one hundred twenty-six billion, three hundred eighty million, six hundred sixty-five thousand, one hundred twenty-five".