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134505 = 3257261
BaseRepresentation
bin100000110101101001
320211111200
4200311221
513301010
62514413
71100100
oct406551
9224450
10134505
1192068
1265a09
13492b7
1437037
1529cc0
hex20d69

134505 has 36 divisors (see below), whose sum is σ = 275652. Its totient is φ = 60480.

The previous prime is 134503. The next prime is 134507. The reversal of 134505 is 505431.

It is an interprime number because it is at equal distance from previous prime (134503) and next prime (134507).

It can be written as a sum of positive squares in 2 ways, for example, as 21609 + 112896 = 147^2 + 336^2 .

It is not a de Polignac number, because 134505 - 21 = 134503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (134503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2175 + ... + 2235.

It is an arithmetic number, because the mean of its divisors is an integer number (7657).

2134505 is an apocalyptic number.

134505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134505 is an abundant number, since it is smaller than the sum of its proper divisors (141147).

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

134505 is a wasteful number, since it uses less digits than its factorization.

134505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 134505 is about 366.7492331280. The cubic root of 134505 is about 51.2365024935.

Adding to 134505 its reverse (505431), we get a palindrome (639936).

The spelling of 134505 in words is "one hundred thirty-four thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 61 63 105 147 183 245 305 315 427 441 549 735 915 1281 2135 2205 2745 2989 3843 6405 8967 14945 19215 26901 44835 134505