152552334312 has 192 divisors, whose sum is σ = 493203110400. Its totient is φ = 43272273600.

The previous prime is 152552334247. The next prime is 152552334349. The reversal of 152552334312 is 213433255251.

152552334312 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 5 + 2 + 334 + 312 = 666.

152552334312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1851187 + ... + 1931837.

It is an arithmetic number, because the mean of its divisors is an integer number (2568766200).

Almost surely, 2^152552334312 is an apocalyptic number.

152552334312 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 152552334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246601555200).

152552334312 is an abundant number, since it is smaller than the sum of its proper divisors (340650776088).

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

152552334312 is a wasteful number, since it uses less digits than its factorization.

152552334312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80818 (or 80802 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

Adding to 152552334312 its reverse (213433255251), we get a palindrome (365985589563).

The spelling of 152552334312 in words is "one hundred fifty-two billion, five hundred fifty-two million, three hundred thirty-four thousand, three hundred twelve".