153009 has 10 divisors (see below), whose sum is σ = 228690. Its totient is φ = 101952.

The previous prime is 153001. The next prime is 153059. The reversal of 153009 is 900351.

153009 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 only one way, i.e., 129600 + 23409 = 360^2 + 153^2 .

It is not a de Polignac number, because 153009 - 2³ = 153001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 152982 and 153000.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 153009.

It is not an unprimeable number, because it can be changed into a prime (153001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 864 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (22869).

2¹⁵³⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

153009 is a deficient number, since it is larger than the sum of its proper divisors (75681).

153009 is an equidigital number, since it uses as much as digits as its factorization.

153009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 153009 is about 391.1636486178. The cubic root of 153009 is about 53.4858611136.

The spelling of 153009 in words is "one hundred fifty-three thousand, nine".