150067008 has 252 divisors, whose sum is σ = 540174180. Its totient is φ = 39481344.

The previous prime is 150067003. The next prime is 150067013. The reversal of 150067008 is 800760051.

It is an interprime number because it is at equal distance from previous prime (150067003) and next prime (150067013).

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 67765824 = 9072^2 + 8232^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150067003) 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 35 ways as a sum of consecutive naturals, for example, 366708 + ... + 367116.

Almost surely, 2^150067008 is an apocalyptic number.

150067008 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 150067008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270087090).

150067008 is an abundant number, since it is smaller than the sum of its proper divisors (390107172).

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

150067008 is a wasteful number, since it uses less digits than its factorization.

150067008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 150067008 is about 12250.1839986181. The cubic root of 150067008 is about 531.4083912856.

The spelling of 150067008 in words is "one hundred fifty million, sixty-seven thousand, eight".