150005856 has 288 divisors, whose sum is σ = 540546048. Its totient is φ = 35804160.

The previous prime is 150005837. The next prime is 150005857. The reversal of 150005856 is 658500051.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150005857) 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, 672561 + ... + 672783.

It is an arithmetic number, because the mean of its divisors is an integer number (1876896).

Almost surely, 2^150005856 is an apocalyptic number.

150005856 is a gapful number since it is divisible by the number (16) 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 150005856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270273024).

150005856 is an abundant number, since it is smaller than the sum of its proper divisors (390540192).

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

150005856 is a wasteful number, since it uses less digits than its factorization.

150005856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 150005856 is about 12247.6877817815. The cubic root of 150005856 is about 531.3361988664.

The spelling of 150005856 in words is "one hundred fifty million, five thousand, eight hundred fifty-six".