150305120 has 96 divisors (see below), whose sum is σ = 412086528. Its totient is φ = 50738688.

The previous prime is 150305101. The next prime is 150305123. The reversal of 150305120 is 21503051.

150305120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150305123) 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, 74039 + ... + 76041.

It is an arithmetic number, because the mean of its divisors is an integer number (4292568).

Almost surely, 2^150305120 is an apocalyptic number.

150305120 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 150305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206043264).

150305120 is an abundant number, since it is smaller than the sum of its proper divisors (261781408).

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

150305120 is a wasteful number, since it uses less digits than its factorization.

150305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 150305120 is about 12259.8988576578. The cubic root of 150305120 is about 531.6893054610.

Adding to 150305120 its reverse (21503051), we get a palindrome (171808171).

The spelling of 150305120 in words is "one hundred fifty million, three hundred five thousand, one hundred twenty".