150001312 has 48 divisors (see below), whose sum is σ = 308448000. Its totient is φ = 71723520.

The previous prime is 150001309. The next prime is 150001381. The reversal of 150001312 is 213100051.

It is a junction number, because it is equal to n+sod(n) for n = 150001292 and 150001301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87439 + ... + 89137.

It is an arithmetic number, because the mean of its divisors is an integer number (6426000).

Almost surely, 2^150001312 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 150001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

150001312 is an abundant number, since it is smaller than the sum of its proper divisors (158446688).

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

150001312 is a wasteful number, since it uses less digits than its factorization.

150001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 150001312 is about 12247.5022759745. The cubic root of 150001312 is about 531.3308337068.

Adding to 150001312 its reverse (213100051), we get a palindrome (363101363).

The spelling of 150001312 in words is "one hundred fifty million, one thousand, three hundred twelve".