16136289 has 27 divisors (see below), whose sum is σ = 25486227. Its totient is φ = 9833616.

The previous prime is 16136261. The next prime is 16136297. The reversal of 16136289 is 98263161.

16136289 = 27² + 28² + ... + 364².

The square root of 16136289 is 4017.

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

16136289 is a `hidden beast` number, since 16 + 13 + 628 + 9 = 666.

16136289 is digitally balanced in base 2 and base 4, because in such bases 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., 2387025 + 13749264 = 1545^2 + 3708^2 .

It is not a de Polignac number, because 16136289 - 2⁵ = 16136257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16136299) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 156612 + ... + 156714.

Almost surely, 2^16136289 is an apocalyptic number.

16136289 is the 4017-th square number.

16136289 is the 2009-th centered octagonal number.

It is an amenable number.

16136289 is a deficient number, since it is larger than the sum of its proper divisors (9349938).

16136289 is a wasteful number, since it uses less digits than its factorization.

16136289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 119 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The cubic root of 16136289 is about 252.6976604752.

Multiplying 16136289 by its sum of digits (36), we get a square (580906404 = 24102²).

The spelling of 16136289 in words is "sixteen million, one hundred thirty-six thousand, two hundred eighty-nine".