150303222720 has 672 divisors, whose sum is σ = 603628212096. Its totient is φ = 33619968000.

The previous prime is 150303222679. The next prime is 150303222763. The reversal of 150303222720 is 27222303051.

It is a happy number.

150303222720 is digitally balanced in base 2, 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 (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197507140 + ... + 197507900.

It is an arithmetic number, because the mean of its divisors is an integer number (898256268).

Almost surely, 2^150303222720 is an apocalyptic number.

150303222720 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 150303222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301814106048).

150303222720 is an abundant number, since it is smaller than the sum of its proper divisors (453324989376).

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

150303222720 is a wasteful number, since it uses less digits than its factorization.

150303222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 150303222720 its reverse (27222303051), we get a palindrome (177525525771).

The spelling of 150303222720 in words is "one hundred fifty billion, three hundred three million, two hundred twenty-two thousand, seven hundred twenty".