126510 has 16 divisors (see below), whose sum is σ = 303696. Its totient is φ = 33728.

The previous prime is 126499. The next prime is 126517. The reversal of 126510 is 15621.

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

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 126510.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2079 + ... + 2138.

It is an arithmetic number, because the mean of its divisors is an integer number (18981).

2¹²⁶⁵¹⁰ is an apocalyptic number.

126510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126510 is an abundant number, since it is smaller than the sum of its proper divisors (177186).

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

126510 is a wasteful number, since it uses less digits than its factorization.

126510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227.

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

The square root of 126510 is about 355.6824426367. The cubic root of 126510 is about 50.2005280284.

Subtracting from 126510 its reverse (15621), we obtain a square (110889 = 333²).

It can be divided in two parts, 1265 and 10, that added together give a triangular number (1275 = T₅₀).

The spelling of 126510 in words is "one hundred twenty-six thousand, five hundred ten".