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135744325287 = 317192934713921
BaseRepresentation
bin111111001101011111…
…1100000011010100111
3110222101020220012112020
41332122333200122213
54211001021402122
6142205435554223
712543604504254
oct1763277403247
9428336805466
10135744325287
11526291507aa
12223845bb973
13ca53cc1c8c
1467da36242b
1537e72e5c5c
hex1f9afe06a7

135744325287 has 64 divisors (see below), whose sum is σ = 209297779200. Its totient is φ = 77677608960.

The previous prime is 135744325279. The next prime is 135744325303. The reversal of 135744325287 is 782523447531.

It is not a de Polignac number, because 135744325287 - 23 = 135744325279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135744325207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9744087 + ... + 9758007.

It is an arithmetic number, because the mean of its divisors is an integer number (3270277800).

Almost surely, 2135744325287 is an apocalyptic number.

135744325287 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

135744325287 is a deficient number, since it is larger than the sum of its proper divisors (73553453913).

135744325287 is a wasteful number, since it uses less digits than its factorization.

135744325287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14336.

The product of its digits is 5644800, while the sum is 51.

The spelling of 135744325287 in words is "one hundred thirty-five billion, seven hundred forty-four million, three hundred twenty-five thousand, two hundred eighty-seven".

Divisors: 1 3 17 19 29 51 57 87 323 347 493 551 969 1041 1479 1653 5899 6593 9367 10063 13921 17697 19779 28101 30189 41763 112081 171071 191197 236657 264499 336243 403709 513213 573591 709971 793497 1211127 3250349 4496483 4830587 6863053 7670471 9751047 13489449 14491761 20589159 23011413 82119979 91781153 130398007 140087023 246359937 275343459 391194021 420261069 1560279601 2381479391 2661653437 4680838803 7144438173 7984960311 45248108429 135744325287