126135 has 12 divisors (see below), whose sum is σ = 218712. Its totient is φ = 67248.

The previous prime is 126131. The next prime is 126143. The reversal of 126135 is 531621.

It is not a de Polignac number, because 126135 - 2² = 126131 is a prime.

126135 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1357 + ... + 1446.

It is an arithmetic number, because the mean of its divisors is an integer number (18226).

2¹²⁶¹³⁵ is an apocalyptic number.

126135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126135 is a deficient number, since it is larger than the sum of its proper divisors (92577).

126135 is a wasteful number, since it uses less digits than its factorization.

126135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2811 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 126135 is about 355.1548957849. The cubic root of 126135 is about 50.1508775944.

Adding to 126135 its reverse (531621), we get a palindrome (657756).

It can be divided in two parts, 1261 and 35, that added together give a 4-th power (1296 = 6⁴).

The spelling of 126135 in words is "one hundred twenty-six thousand, one hundred thirty-five".