126192 has 40 divisors (see below), whose sum is σ = 357120. Its totient is φ = 38080.

The previous prime is 126173. The next prime is 126199. The reversal of 126192 is 291621.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126199) by changing a digit.

126192 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 409 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2¹²⁶¹⁹² is an apocalyptic number.

126192 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 126192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

126192 is an abundant number, since it is smaller than the sum of its proper divisors (230928).

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

126192 is a wasteful number, since it uses less digits than its factorization.

126192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 126192 is about 355.2351333976. The cubic root of 126192 is about 50.1584307968.

It can be divided in two parts, 12619 and 2, that added together give a palindrome (12621).

The spelling of 126192 in words is "one hundred twenty-six thousand, one hundred ninety-two".