126500 has 48 divisors (see below), whose sum is σ = 314496. Its totient is φ = 44000.

The previous prime is 126499. The next prime is 126517. The reversal of 126500 is 5621.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5489 + ... + 5511.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2¹²⁶⁵⁰⁰ is an apocalyptic number.

126500 is a gapful number since it is divisible by the number (10) 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 126500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

126500 is an abundant number, since it is smaller than the sum of its proper divisors (187996).

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

126500 is a wasteful number, since it uses less digits than its factorization.

126500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 126500 is about 355.6683848756. The cubic root of 126500 is about 50.1992052910.

It can be divided in two parts, 126 and 500, that added together give a palindrome (626).

The spelling of 126500 in words is "one hundred twenty-six thousand, five hundred".