150345312 has 96 divisors (see below), whose sum is σ = 433224288. Its totient is φ = 45367296.

The previous prime is 150345311. The next prime is 150345317. The reversal of 150345312 is 213543051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150345311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65008 + ... + 67280.

It is an arithmetic number, because the mean of its divisors is an integer number (4512753).

Almost surely, 2^150345312 is an apocalyptic number.

150345312 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 150345312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216612144).

150345312 is an abundant number, since it is smaller than the sum of its proper divisors (282878976).

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

150345312 is a wasteful number, since it uses less digits than its factorization.

150345312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 150345312 is about 12261.5379133288. The cubic root of 150345312 is about 531.7366929620.

Adding to 150345312 its reverse (213543051), we get a palindrome (363888363).

The spelling of 150345312 in words is "one hundred fifty million, three hundred forty-five thousand, three hundred twelve".