150520320 has 240 divisors, whose sum is σ = 536215680. Its totient is φ = 39002112.

The previous prime is 150520291. The next prime is 150520327. The reversal of 150520320 is 23025051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 150520293 and 150520302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150520327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1082811 + ... + 1082949.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^150520320 is an apocalyptic number.

150520320 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 150520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

150520320 is an abundant number, since it is smaller than the sum of its proper divisors (385695360).

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

150520320 is a wasteful number, since it uses less digits than its factorization.

150520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 150520320 is about 12268.6722998049. The cubic root of 150520320 is about 531.9429339358.

Adding to 150520320 its reverse (23025051), we get a palindrome (173545371).

The spelling of 150520320 in words is "one hundred fifty million, five hundred twenty thousand, three hundred twenty".