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136161 = 34412
BaseRepresentation
bin100001001111100001
320220210000
4201033201
513324121
62530213
71104654
oct411741
9226700
10136161
1193333
1266969
1349c8c
143789b
152a526
hex213e1

136161 has 15 divisors (see below), whose sum is σ = 208483. Its totient is φ = 88560.

The previous prime is 136139. The next prime is 136163. The reversal of 136161 is 161631.

136161 = T368 + T369.

The square root of 136161 is 369.

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

It can be written as a sum of positive squares in only one way, i.e., 6561 + 129600 = 81^2 + 360^2 .

It is not a de Polignac number, because 136161 - 27 = 136033 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (136163) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3301 + ... + 3341.

136161 is a Friedman number, since it can be written as (61*6+3)^(1+1), using all its digits and the basic arithmetic operations.

2136161 is an apocalyptic number.

136161 is the 369-th square number.

136161 is the 185-th centered octagonal number.

It is an amenable number.

136161 is a deficient number, since it is larger than the sum of its proper divisors (72322).

136161 is an frugal number, since it uses more digits than its factorization.

136161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 44 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The cubic root of 136161 is about 51.4459167683.

Adding to 136161 its reverse (161631), we get a palindrome (297792).

The spelling of 136161 in words is "one hundred thirty-six thousand, one hundred sixty-one".

Divisors: 1 3 9 27 41 81 123 369 1107 1681 3321 5043 15129 45387 136161