152732556066816 has 1288 divisors, whose sum is σ = 528119853177600. Its totient is φ = 43663207956480.

The previous prime is 152732556066749. The next prime is 152732556066823. The reversal of 152732556066816 is 618660655237251.

152732556066816 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 3 + 2 + 5 + 5 + 606 + 6 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 639048351625 + ... + 639048351863.

Almost surely, 2^{152732556066816} is an apocalyptic number.

152732556066816 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 152732556066816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264059926588800).

152732556066816 is an abundant number, since it is smaller than the sum of its proper divisors (375387297110784).

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

152732556066816 is an frugal number, since it uses more digits than its factorization.

152732556066816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 152732556066816 in words is "one hundred fifty-two trillion, seven hundred thirty-two billion, five hundred fifty-six million, sixty-six thousand, eight hundred sixteen".