152541 has 12 divisors (see below), whose sum is σ = 233532. Its totient is φ = 95616.

The previous prime is 152539. The next prime is 152563. The reversal of 152541 is 145251.

It can be written as a sum of positive squares in 2 ways, for example, as 125316 + 27225 = 354^2 + 165^2 .

It is not a de Polignac number, because 152541 - 2¹ = 152539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346 + ... + 651.

It is an arithmetic number, because the mean of its divisors is an integer number (19461).

2¹⁵²⁵⁴¹ is an apocalyptic number.

It is an amenable number.

152541 is a deficient number, since it is larger than the sum of its proper divisors (80991).

152541 is a wasteful number, since it uses less digits than its factorization.

152541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1017 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 152541 is about 390.5649753882. The cubic root of 152541 is about 53.4312740258.

Adding to 152541 its reverse (145251), we get a palindrome (297792).

It can be divided in two parts, 15 and 2541, that added together give a triangular number (2556 = T₇₁).

The spelling of 152541 in words is "one hundred fifty-two thousand, five hundred forty-one".