150768528768 has 768 divisors, whose sum is σ = 543314995200. Its totient is φ = 40758681600.

The previous prime is 150768528761. The next prime is 150768528863. The reversal of 150768528768 is 867825867051.

150768528768 is a `hidden beast` number, since 1 + 507 + 6 + 8 + 52 + 8 + 76 + 8 = 666.

It is a super-2 number, since 2×150768528768² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150768528761) 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 95 ways as a sum of consecutive naturals, for example, 199165446 + ... + 199166202.

It is an arithmetic number, because the mean of its divisors is an integer number (707441400).

Almost surely, 2^150768528768 is an apocalyptic number.

150768528768 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 150768528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271657497600).

150768528768 is an abundant number, since it is smaller than the sum of its proper divisors (392546466432).

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

150768528768 is a wasteful number, since it uses less digits than its factorization.

150768528768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 150768528768 in words is "one hundred fifty billion, seven hundred sixty-eight million, five hundred twenty-eight thousand, seven hundred sixty-eight".