152133 has 16 divisors (see below), whose sum is σ = 227520. Its totient is φ = 89856.

The previous prime is 152123. The next prime is 152147. The reversal of 152133 is 331251.

It is a happy number.

It is not a de Polignac number, because 152133 - 2¹⁷ = 21061 is a prime.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 891 + ... + 1047.

It is an arithmetic number, because the mean of its divisors is an integer number (14220).

2¹⁵²¹³³ is an apocalyptic number.

It is an amenable number.

152133 is a deficient number, since it is larger than the sum of its proper divisors (75387).

152133 is a wasteful number, since it uses less digits than its factorization.

152133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196.

The product of its digits is 90, while the sum is 15.

The square root of 152133 is about 390.0423053978. The cubic root of 152133 is about 53.3835941129.

Adding to 152133 its reverse (331251), we get a palindrome (483384).

The spelling of 152133 in words is "one hundred fifty-two thousand, one hundred thirty-three".