180145836 has 96 divisors (see below), whose sum is σ = 519321600. Its totient is φ = 53628480.

The previous prime is 180145831. The next prime is 180145837. The reversal of 180145836 is 638541081.

180145836 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 180145836.

It is not an unprimeable number, because it can be changed into a prime (180145831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41455 + ... + 45593.

It is an arithmetic number, because the mean of its divisors is an integer number (5409600).

Almost surely, 2^180145836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180145836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259660800).

180145836 is an abundant number, since it is smaller than the sum of its proper divisors (339175764).

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

180145836 is a wasteful number, since it uses less digits than its factorization.

180145836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 180145836 is about 13421.8417514140. The cubic root of 180145836 is about 564.7740616440.

The spelling of 180145836 in words is "one hundred eighty million, one hundred forty-five thousand, eight hundred thirty-six".