126004 has 18 divisors (see below), whose sum is σ = 236390. Its totient is φ = 58752.

The previous prime is 126001. The next prime is 126011. The reversal of 126004 is 400621.

126004 = T₂₄₉ + T₂₅₀ + ... + T₂₅₂.

It can be written as a sum of positive squares in 3 ways, for example, as 63504 + 62500 = 252^2 + 250^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1102 + ... + 1210.

2¹²⁶⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

126004 is a deficient number, since it is larger than the sum of its proper divisors (110386).

126004 is a wasteful number, since it uses less digits than its factorization.

126004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 126004 is about 354.9704213030. The cubic root of 126004 is about 50.1335098518.

Adding to 126004 its reverse (400621), we get a palindrome (526625).

The spelling of 126004 in words is "one hundred twenty-six thousand, four".