126116375175 has 144 divisors (see below), whose sum is σ = 264334470400. Its totient is φ = 57454608960.

The previous prime is 126116375173. The next prime is 126116375207. The reversal of 126116375175 is 571573611621.

126116375175 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 1 + 637 + 5 + 1 + 7 + 5 = 666.

It is not a de Polignac number, because 126116375175 - 2¹ = 126116375173 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126116375175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126116375173) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23690064 + ... + 23695386.

Almost surely, 2^126116375175 is an apocalyptic number.

126116375175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126116375175 is an abundant number, since it is smaller than the sum of its proper divisors (138218095225).

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

126116375175 is a wasteful number, since it uses less digits than its factorization.

126116375175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667 (or 5645 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

Adding to 126116375175 its reverse (571573611621), we get a palindrome (697689986796).

The spelling of 126116375175 in words is "one hundred twenty-six billion, one hundred sixteen million, three hundred seventy-five thousand, one hundred seventy-five".