150563520 has 168 divisors, whose sum is σ = 540629856. Its totient is φ = 38387712.

The previous prime is 150563519. The next prime is 150563527. The reversal of 150563520 is 25365051.

150563520 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 635 + 20 = 666.

150563520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150563527) 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 23 ways as a sum of consecutive naturals, for example, 65104 + ... + 67376.

Almost surely, 2^150563520 is an apocalyptic number.

150563520 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 150563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270314928).

150563520 is an abundant number, since it is smaller than the sum of its proper divisors (390066336).

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

150563520 is a wasteful number, since it uses less digits than its factorization.

150563520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2306 counting only the distinct ones).

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

The square root of 150563520 is about 12270.4327552047. The cubic root of 150563520 is about 531.9938190625.

It can be divided in two parts, 1505 and 63520, that added together give a square (65025 = 255²).

The spelling of 150563520 in words is "one hundred fifty million, five hundred sixty-three thousand, five hundred twenty".