126788 has 12 divisors (see below), whose sum is σ = 229740. Its totient is φ = 61152.

The previous prime is 126781. The next prime is 126823. The reversal of 126788 is 887621.

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 23104 = 322^2 + 152^2 .

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (126781) by changing a digit.

126788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 431 + ... + 662.

It is an arithmetic number, because the mean of its divisors is an integer number (19145).

2¹²⁶⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

126788 is a deficient number, since it is larger than the sum of its proper divisors (102952).

126788 is a wasteful number, since it uses less digits than its factorization.

126788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1124 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 126788 is about 356.0730262179. The cubic root of 126788 is about 50.2372722565.

Subtracting from 126788 its sum of digits (32), we obtain a triangular number (126756 = T₅₀₃).

The spelling of 126788 in words is "one hundred twenty-six thousand, seven hundred eighty-eight".