150556320 has 120 divisors (see below), whose sum is σ = 531384084. Its totient is φ = 40144896.

The previous prime is 150556309. The next prime is 150556327. The reversal of 150556320 is 23655051.

It can be written as a sum of positive squares in 2 ways, for example, as 147185424 + 3370896 = 12132^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (150556327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7152 + ... + 18768.

Almost surely, 2^150556320 is an apocalyptic number.

150556320 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 150556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265692042).

150556320 is an abundant number, since it is smaller than the sum of its proper divisors (380827764).

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

150556320 is a wasteful number, since it uses less digits than its factorization.

150556320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11644 (or 11627 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 150556320 is about 12270.1393635117. The cubic root of 150556320 is about 531.9853388840.

The spelling of 150556320 in words is "one hundred fifty million, five hundred fifty-six thousand, three hundred twenty".