150006001536 has 192 divisors, whose sum is σ = 440042382000. Its totient is φ = 49040179200.

The previous prime is 150006001529. The next prime is 150006001549. The reversal of 150006001536 is 635100600051.

It is a happy number.

150006001536 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 0 + 600 + 1 + 53 + 6 = 666.

150006001536 is digitally balanced in base 2, 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 (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12443640 + ... + 12455688.

Almost surely, 2^150006001536 is an apocalyptic number.

150006001536 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 150006001536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220021191000).

150006001536 is an abundant number, since it is smaller than the sum of its proper divisors (290036380464).

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

150006001536 is a wasteful number, since it uses less digits than its factorization.

150006001536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12277 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 150006001536 its reverse (635100600051), we get a palindrome (785106601587).

The spelling of 150006001536 in words is "one hundred fifty billion, six million, one thousand, five hundred thirty-six".