180126240 has 96 divisors (see below), whose sum is σ = 648466560. Its totient is φ = 41170944.

The previous prime is 180126227. The next prime is 180126263. The reversal of 180126240 is 42621081.

180126240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 180126240.

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, 23445 + ... + 30164.

It is an arithmetic number, because the mean of its divisors is an integer number (6754860).

Almost surely, 2^180126240 is an apocalyptic number.

180126240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180126240 is an abundant number, since it is smaller than the sum of its proper divisors (468340320).

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

180126240 is a wasteful number, since it uses less digits than its factorization.

180126240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53634 (or 53626 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 180126240 is about 13421.1117274241. Note that the first 3 decimals coincide. The cubic root of 180126240 is about 564.7535824699.

The spelling of 180126240 in words is "one hundred eighty million, one hundred twenty-six thousand, two hundred forty".