150305075712 has 320 divisors, whose sum is σ = 487897344000. Its totient is φ = 45308989440.

The previous prime is 150305075681. The next prime is 150305075749. The reversal of 150305075712 is 217570503051.

It is a happy number.

150305075712 is a `hidden beast` number, since 1 + 5 + 0 + 30 + 50 + 7 + 571 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30258253 + ... + 30263219.

It is an arithmetic number, because the mean of its divisors is an integer number (1524679200).

Almost surely, 2^150305075712 is an apocalyptic number.

150305075712 is a gapful number since it is divisible by the number (12) 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 150305075712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243948672000).

150305075712 is an abundant number, since it is smaller than the sum of its proper divisors (337592268288).

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

150305075712 is a wasteful number, since it uses less digits than its factorization.

150305075712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5204 (or 5182 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

Adding to 150305075712 its reverse (217570503051), we get a palindrome (367875578763).

The spelling of 150305075712 in words is "one hundred fifty billion, three hundred five million, seventy-five thousand, seven hundred twelve".