152536050133312 has 112 divisors (see below), whose sum is σ = 310729309689744. Its totient is φ = 74267228160000.

The previous prime is 152536050133303. The next prime is 152536050133381. The reversal of 152536050133312 is 213331050635251.

It can be written as a sum of positive squares in 8 ways, for example, as 781639882816 + 151754410250496 = 884104^2 + 12318864^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6167296498 + ... + 6167321230.

Almost surely, 2^{152536050133312} 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 152536050133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155364654844872).

152536050133312 is an abundant number, since it is smaller than the sum of its proper divisors (158193259556432).

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

152536050133312 is a wasteful number, since it uses less digits than its factorization.

152536050133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40548 (or 40538 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 40.

The spelling of 152536050133312 in words is "one hundred fifty-two trillion, five hundred thirty-six billion, fifty million, one hundred thirty-three thousand, three hundred twelve".