126180 has 36 divisors (see below), whose sum is σ = 383292. Its totient is φ = 33600.

The previous prime is 126173. The next prime is 126199. The reversal of 126180 is 81621.

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 46656 = 282^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2¹²⁶¹⁸⁰ is an apocalyptic number.

126180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126180 is an abundant number, since it is smaller than the sum of its proper divisors (257112).

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

126180 is a wasteful number, since it uses less digits than its factorization.

126180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 126180 is about 355.2182427748. The cubic root of 126180 is about 50.1568408379.

The spelling of 126180 in words is "one hundred twenty-six thousand, one hundred eighty".