150228288 has 336 divisors, whose sum is σ = 542056320. Its totient is φ = 38817792.

The previous prime is 150228277. The next prime is 150228289. The reversal of 150228288 is 882822051.

It is a happy number.

150228288 is a `hidden beast` number, since 150 + 228 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150228289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2834470 + ... + 2834522.

Almost surely, 2^150228288 is an apocalyptic number.

150228288 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 150228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271028160).

150228288 is an abundant number, since it is smaller than the sum of its proper divisors (391828032).

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

150228288 is a wasteful number, since it uses less digits than its factorization.

150228288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 150228288 is about 12256.7649891805. The cubic root of 150228288 is about 531.5986948521.

The spelling of 150228288 in words is "one hundred fifty million, two hundred twenty-eight thousand, two hundred eighty-eight".