152523452133 has 12 divisors (see below), whose sum is σ = 237258703500. Its totient is φ = 93860585856.

The previous prime is 152523452093. The next prime is 152523452167. The reversal of 152523452133 is 331254325251.

152523452133 is a `hidden beast` number, since 1 + 52 + 5 + 23 + 452 + 133 = 666.

152523452133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26141069124 + 126382383009 = 161682^2 + 355503^2 .

It is not a de Polignac number, because 152523452133 - 2⁶ = 152523452069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152523452233) 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 11 ways as a sum of consecutive naturals, for example, 651809508 + ... + 651809741.

It is an arithmetic number, because the mean of its divisors is an integer number (19771558625).

Almost surely, 2^152523452133 is an apocalyptic number.

152523452133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

152523452133 is a deficient number, since it is larger than the sum of its proper divisors (84735251367).

152523452133 is a wasteful number, since it uses less digits than its factorization.

152523452133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303619268 (or 1303619265 counting only the distinct ones).

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

Adding to 152523452133 its reverse (331254325251), we get a palindrome (483777777384).

The spelling of 152523452133 in words is "one hundred fifty-two billion, five hundred twenty-three million, four hundred fifty-two thousand, one hundred thirty-three".