180213540 has 192 divisors, whose sum is σ = 582543360. Its totient is φ = 41287680.

The previous prime is 180213529. The next prime is 180213547. The reversal of 180213540 is 45312081.

It is a self number, because there is not a number n which added to its sum of digits gives 180213540.

It is not an unprimeable number, because it can be changed into a prime (180213547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701092 + ... + 701348.

It is an arithmetic number, because the mean of its divisors is an integer number (3034080).

Almost surely, 2^180213540 is an apocalyptic number.

180213540 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 180213540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291271680).

180213540 is an abundant number, since it is smaller than the sum of its proper divisors (402329820).

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

180213540 is a wasteful number, since it uses less digits than its factorization.

180213540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

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

The square root of 180213540 is about 13424.3636720703. The cubic root of 180213540 is about 564.8448055751.

The spelling of 180213540 in words is "one hundred eighty million, two hundred thirteen thousand, five hundred forty".