Search a number
-
+
136107 = 33712
BaseRepresentation
bin100001001110101011
320220201000
4201032223
513323412
62530043
71104546
oct411653
9226630
10136107
1193294
1266923
1349c4a
143785d
152a4dc
hex213ab

136107 has 12 divisors (see below), whose sum is σ = 204520. Its totient is φ = 89460.

The previous prime is 136099. The next prime is 136111. The reversal of 136107 is 701631.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

136107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 136107 - 23 = 136099 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 136107.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136107.

It is not an unprimeable number, because it can be changed into a prime (136177) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1882 + ... + 1952.

2136107 is an apocalyptic number.

136107 is a deficient number, since it is larger than the sum of its proper divisors (68413).

136107 is an frugal number, since it uses more digits than its factorization.

136107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 136107 is about 368.9268220122. The cubic root of 136107 is about 51.4391149018.

Subtracting from 136107 its product of nonzero digits (126), we obtain a triangular number (135981 = T521).

Adding to 136107 its reverse (701631), we get a palindrome (837738).

It can be divided in two parts, 136 and 107, that added together give a 5-th power (243 = 35).

The spelling of 136107 in words is "one hundred thirty-six thousand, one hundred seven".

Divisors: 1 3 9 27 71 213 639 1917 5041 15123 45369 136107