150305220 has 252 divisors, whose sum is σ = 520849476. Its totient is φ = 36391680.

The previous prime is 150305189. The next prime is 150305227. The reversal of 150305220 is 22503051.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 71876484 + 78428736 = 8478^2 + 8856^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 150305193 and 150305202.

It is not an unprimeable number, because it can be changed into a prime (150305227) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2463990 + ... + 2464050.

It is an arithmetic number, because the mean of its divisors is an integer number (2066863).

Almost surely, 2^150305220 is an apocalyptic number.

150305220 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 150305220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260424738).

150305220 is an abundant number, since it is smaller than the sum of its proper divisors (370544256).

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

150305220 is a wasteful number, since it uses less digits than its factorization.

150305220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 150305220 is about 12259.9029359942. The cubic root of 150305220 is about 531.6894233743.

Adding to 150305220 its reverse (22503051), we get a palindrome (172808271).

The spelling of 150305220 in words is "one hundred fifty million, three hundred five thousand, two hundred twenty".