152145 has 48 divisors (see below), whose sum is σ = 328320. Its totient is φ = 66528.

The previous prime is 152123. The next prime is 152147. The reversal of 152145 is 541251.

It is not a de Polignac number, because 152145 - 2⁶ = 152081 is a prime.

152145 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (152147) 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 47 ways as a sum of consecutive naturals, for example, 6604 + ... + 6626.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2¹⁵²¹⁴⁵ is an apocalyptic number.

152145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152145 is an abundant number, since it is smaller than the sum of its proper divisors (176175).

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

152145 is a wasteful number, since it uses less digits than its factorization.

152145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 38 counting only the distinct ones).

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

The square root of 152145 is about 390.0576880411. The cubic root of 152145 is about 53.3849976793.

Adding to 152145 its reverse (541251), we get a palindrome (693396).

The spelling of 152145 in words is "one hundred fifty-two thousand, one hundred forty-five".