180405150 has 48 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 47832160.

The previous prime is 180405131. The next prime is 180405157. The reversal of 180405150 is 51504081.

It is a self number, because there is not a number n which added to its sum of digits gives 180405150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180405157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23491 + ... + 30209.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2^180405150 is an apocalyptic number.

180405150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180405150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

180405150 is an abundant number, since it is smaller than the sum of its proper divisors (269566050).

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

180405150 is a wasteful number, since it uses less digits than its factorization.

180405150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6908 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 180405150 is about 13431.4984272046. The cubic root of 180405150 is about 565.0449229428.

The spelling of 180405150 in words is "one hundred eighty million, four hundred five thousand, one hundred fifty".