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135346367 = 13171932233
BaseRepresentation
bin10000001000100…
…11100010111111
3100102200022022102
420010103202333
5234122040432
621232535315
73232265552
oct1004234277
9312608272
10135346367
116a443802
12393b153b
132206b110
1413d92699
15bd37962
hex81138bf

135346367 has 16 divisors (see below), whose sum is σ = 162459360. Its totient is φ = 111393792.

The previous prime is 135346339. The next prime is 135346399. The reversal of 135346367 is 763643531.

It is a happy number.

It is not a de Polignac number, because 135346367 - 224 = 118569151 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 135346367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135346667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11918 + ... + 20315.

It is an arithmetic number, because the mean of its divisors is an integer number (10153710).

Almost surely, 2135346367 is an apocalyptic number.

135346367 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

135346367 is a deficient number, since it is larger than the sum of its proper divisors (27112993).

135346367 is a wasteful number, since it uses less digits than its factorization.

135346367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32282.

The product of its digits is 136080, while the sum is 38.

The square root of 135346367 is about 11633.8457528025. The cubic root of 135346367 is about 513.4311346891.

Adding to 135346367 its reverse (763643531), we get a palindrome (898989898).

The spelling of 135346367 in words is "one hundred thirty-five million, three hundred forty-six thousand, three hundred sixty-seven".

Divisors: 1 13 17 19 221 247 323 4199 32233 419029 547961 612427 7123493 7961551 10411259 135346367