150268608 has 280 divisors, whose sum is σ = 526657824. Its totient is φ = 41472000.

The previous prime is 150268607. The next prime is 150268609. The reversal of 150268608 is 806862051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150268607) and next prime (150268609).

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

It is not an unprimeable number, because it can be changed into a prime (150268603) 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 39 ways as a sum of consecutive naturals, for example, 1487758 + ... + 1487858.

Almost surely, 2^150268608 is an apocalyptic number.

150268608 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 150268608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263328912).

150268608 is an abundant number, since it is smaller than the sum of its proper divisors (376389216).

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

150268608 is a wasteful number, since it uses less digits than its factorization.

150268608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 150268608 is about 12258.4096847837. The cubic root of 150268608 is about 531.6462494603.

The spelling of 150268608 in words is "one hundred fifty million, two hundred sixty-eight thousand, six hundred eight".