150359328 has 120 divisors (see below), whose sum is σ = 505435392. Its totient is φ = 42954624.

The previous prime is 150359273. The next prime is 150359333. The reversal of 150359328 is 823953051.

It is a super-2 number, since 2×150359328² = 45215855033223168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 150359292 and 150359301.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14001 + ... + 22287.

Almost surely, 2^150359328 is an apocalyptic number.

150359328 is a gapful number since it is divisible by the number (18) 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 150359328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252717696).

150359328 is an abundant number, since it is smaller than the sum of its proper divisors (355076064).

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

150359328 is an equidigital number, since it uses as much as digits as its factorization.

150359328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8316 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 150359328 is about 12262.1094433217. The cubic root of 150359328 is about 531.7532162350.

The spelling of 150359328 in words is "one hundred fifty million, three hundred fifty-nine thousand, three hundred twenty-eight".