153338689 has 27 divisors (see below), whose sum is σ = 187814601. Its totient is φ = 124820640.

The previous prime is 153338687. The next prime is 153338701. The reversal of 153338689 is 986833351.

The square root of 153338689 is 12383.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 46009089 + 107329600 = 6783^2 + 10360^2 .

It is not a de Polignac number, because 153338689 - 2¹ = 153338687 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153338681) 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 26 ways as a sum of consecutive naturals, for example, 2513719 + ... + 2513779.

Almost surely, 2^153338689 is an apocalyptic number.

153338689 is the 12383-rd square number.

153338689 is the 6192-nd centered octagonal number.

It is an amenable number.

153338689 is a deficient number, since it is larger than the sum of its proper divisors (34475912).

153338689 is an frugal number, since it uses more digits than its factorization.

153338689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The cubic root of 153338689 is about 535.2424894284.

The spelling of 153338689 in words is "one hundred fifty-three million, three hundred thirty-eight thousand, six hundred eighty-nine".