126875 has 20 divisors (see below), whose sum is σ = 187440. Its totient is φ = 84000.

The previous prime is 126859. The next prime is 126913. The reversal of 126875 is 578621.

It is not a de Polignac number, because 126875 - 2⁴ = 126859 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

Its product of digits (3360) is a multiple of the sum of its prime factors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4361 + ... + 4389.

It is an arithmetic number, because the mean of its divisors is an integer number (9372).

2¹²⁶⁸⁷⁵ is an apocalyptic number.

126875 is a deficient number, since it is larger than the sum of its proper divisors (60565).

126875 is an frugal number, since it uses more digits than its factorization.

126875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 126875 is about 356.1951712194. The cubic root of 126875 is about 50.2487603136.

It can be divided in two parts, 126 and 875, that added together give a palindrome (1001).

The spelling of 126875 in words is "one hundred twenty-six thousand, eight hundred seventy-five".