152133613016 has 256 divisors, whose sum is σ = 382154112000. Its totient is φ = 54991872000.

The previous prime is 152133612989. The next prime is 152133613031. The reversal of 152133613016 is 610316331251.

152133613016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 292002836 + ... + 292003356.

It is an arithmetic number, because the mean of its divisors is an integer number (1492789500).

Almost surely, 2^152133613016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152133613016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191077056000).

152133613016 is an abundant number, since it is smaller than the sum of its proper divisors (230020498984).

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

152133613016 is a wasteful number, since it uses less digits than its factorization.

152133613016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

Adding to 152133613016 its reverse (610316331251), we get a palindrome (762449944267).

The spelling of 152133613016 in words is "one hundred fifty-two billion, one hundred thirty-three million, six hundred thirteen thousand, sixteen".