150382080 has 240 divisors, whose sum is σ = 534300624. Its totient is φ = 39075840.

The previous prime is 150382079. The next prime is 150382129. The reversal of 150382080 is 80283051.

It is a happy number.

150382080 is a `hidden beast` number, since 1 + 503 + 82 + 0 + 80 = 666.

150382080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×150382080² = 45229539970252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1405387 + ... + 1405493.

Almost surely, 2^150382080 is an apocalyptic number.

150382080 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 150382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267150312).

150382080 is an abundant number, since it is smaller than the sum of its proper divisors (383918544).

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

150382080 is a wasteful number, since it uses less digits than its factorization.

150382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 150382080 is about 12263.0371441988. The cubic root of 150382080 is about 531.7800360742.

The spelling of 150382080 in words is "one hundred fifty million, three hundred eighty-two thousand, eighty".