152535141324 has 144 divisors (see below), whose sum is σ = 421893632160. Its totient is φ = 46277683200.

The previous prime is 152535141323. The next prime is 152535141329. The reversal of 152535141324 is 423141535251.

152535141324 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 3 + 514 + 132 + 4 = 666.

152535141324 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 not an unprimeable number, because it can be changed into a prime (152535141323) by changing a digit.

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, 2629222 + ... + 2686610.

It is an arithmetic number, because the mean of its divisors is an integer number (2929816890).

Almost surely, 2^152535141324 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 152535141324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210946816080).

152535141324 is an abundant number, since it is smaller than the sum of its proper divisors (269358490836).

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

152535141324 is a wasteful number, since it uses less digits than its factorization.

152535141324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57560 (or 57555 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 152535141324 its reverse (423141535251), we get a palindrome (575676676575).

The spelling of 152535141324 in words is "one hundred fifty-two billion, five hundred thirty-five million, one hundred forty-one thousand, three hundred twenty-four".