126504 has 48 divisors (see below), whose sum is σ = 393120. Its totient is φ = 36000.

The previous prime is 126499. The next prime is 126517. The reversal of 126504 is 405621.

It is a happy number.

126504 is a `hidden beast` number, since 12 + 650 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

126504 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 11 ways as a sum of consecutive naturals, for example, 379 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2¹²⁶⁵⁰⁴ is an apocalyptic number.

126504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

126504 is an abundant number, since it is smaller than the sum of its proper divisors (266616).

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

126504 is a wasteful number, since it uses less digits than its factorization.

126504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 126504 is about 355.6740080467. The cubic root of 126504 is about 50.1997343943.

It can be divided in two parts, 126 and 504, that multiplied together give a square (63504 = 252²).

The spelling of 126504 in words is "one hundred twenty-six thousand, five hundred four".