152728830538752 has 704 divisors, whose sum is σ = 468593019740160. Its totient is φ = 43866714931200.

The previous prime is 152728830538733. The next prime is 152728830538769. The reversal of 152728830538752 is 257835038827251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69327656883 + ... + 69327659085.

Almost surely, 2^{152728830538752} is an apocalyptic number.

152728830538752 is a gapful number since it is divisible by the number (12) 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 152728830538752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234296509870080).

152728830538752 is an abundant number, since it is smaller than the sum of its proper divisors (315864189201408).

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

152728830538752 is a wasteful number, since it uses less digits than its factorization.

152728830538752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 225792000, while the sum is 66.

The spelling of 152728830538752 in words is "one hundred fifty-two trillion, seven hundred twenty-eight billion, eight hundred thirty million, five hundred thirty-eight thousand, seven hundred fifty-two".