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136164 = 22371621
BaseRepresentation
bin100001001111100100
320220210010
4201033210
513324124
62530220
71104660
oct411744
9226703
10136164
1193336
1266970
1349c92
14378a0
152a529
hex213e4

136164 has 24 divisors (see below), whose sum is σ = 363328. Its totient is φ = 38880.

The previous prime is 136163. The next prime is 136177. The reversal of 136164 is 461631.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 136164.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136164.

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 7 ways as a sum of consecutive naturals, for example, 727 + ... + 894.

2136164 is an apocalyptic number.

136164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

136164 is an abundant number, since it is smaller than the sum of its proper divisors (227164).

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

136164 is a wasteful number, since it uses less digits than its factorization.

136164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1633 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 136164 is about 369.0040650183. The cubic root of 136164 is about 51.4462945971.

Adding to 136164 its reverse (461631), we get a palindrome (597795).

It can be divided in two parts, 136 and 164, that added together give a triangular number (300 = T24).

The spelling of 136164 in words is "one hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1621 3242 4863 6484 9726 11347 19452 22694 34041 45388 68082 136164