126015 has 16 divisors (see below), whose sum is σ = 208896. Its totient is φ = 64800.

The previous prime is 126013. The next prime is 126019. The reversal of 126015 is 510621.

It is not a de Polignac number, because 126015 - 2¹ = 126013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 125985 and 126003.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126015.

It is not an unprimeable number, because it can be changed into a prime (126011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (13056).

2¹²⁶⁰¹⁵ is an apocalyptic number.

126015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126015 is a deficient number, since it is larger than the sum of its proper divisors (82881).

126015 is a wasteful number, since it uses less digits than its factorization.

126015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 126015 is about 354.9859152135. The cubic root of 126015 is about 50.1349686746.

Adding to 126015 its reverse (510621), we get a palindrome (636636).

It can be divided in two parts, 1260 and 15, that added together give a triangular number (1275 = T₅₀).

The spelling of 126015 in words is "one hundred twenty-six thousand, fifteen".