126852 has 36 divisors (see below), whose sum is σ = 333648. Its totient is φ = 37200.

The previous prime is 126851. The next prime is 126857. The reversal of 126852 is 258621.

Its product of digits (960) is a multiple of the sum of its prime factors (80).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (126851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4077 + ... + 4107.

It is an arithmetic number, because the mean of its divisors is an integer number (9268).

2¹²⁶⁸⁵² is an apocalyptic number.

126852 is a gapful number since it is divisible by the number (12) 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 126852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166824).

126852 is an abundant number, since it is smaller than the sum of its proper divisors (206796).

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

126852 is a wasteful number, since it uses less digits than its factorization.

126852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 126852 is about 356.1628840854. The cubic root of 126852 is about 50.2457237518.

Subtracting 126852 from its reverse (258621), we obtain a square (131769 = 363²).

The spelling of 126852 in words is "one hundred twenty-six thousand, eight hundred fifty-two".