150905328 has 160 divisors (see below), whose sum is σ = 488540160. Its totient is φ = 39137280.

The previous prime is 150905327. The next prime is 150905329. The reversal of 150905328 is 823509051.

It is an interprime number because it is at equal distance from previous prime (150905327) and next prime (150905329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150905327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165193 + ... + 166103.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2^150905328 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 150905328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244270080).

150905328 is an abundant number, since it is smaller than the sum of its proper divisors (337634832).

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

150905328 is a wasteful number, since it uses less digits than its factorization.

150905328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 150905328 is about 12284.3529744142. The cubic root of 150905328 is about 532.3960907259.

The spelling of 150905328 in words is "one hundred fifty million, nine hundred five thousand, three hundred twenty-eight".