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132135736565 = 5723125310589
BaseRepresentation
bin111101100001111100…
…1110101010011110101
3110122001202200220102002
41323003321311103311
54131103222032230
6140411411225045
712355306141400
oct1730371652365
9418052626362
10132135736565
11510471a6678
1221737ba8185
13c5ca4c5791
146576db8d37
1536855d9545
hex1ec3e754f5

132135736565 has 72 divisors (see below), whose sum is σ = 194207087160. Its totient is φ = 86021994240.

The previous prime is 132135736543. The next prime is 132135736571. The reversal of 132135736565 is 565637531231.

It can be written as a sum of positive squares in 4 ways, for example, as 6871415236 + 125264321329 = 82894^2 + 353927^2 .

It is a de Polignac number, because none of the positive numbers 2k-132135736565 is a prime.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 12473291 + ... + 12483879.

It is an arithmetic number, because the mean of its divisors is an integer number (2697320655).

Almost surely, 2132135736565 is an apocalyptic number.

It is an amenable number.

132135736565 is a deficient number, since it is larger than the sum of its proper divisors (62071350595).

132135736565 is a wasteful number, since it uses less digits than its factorization.

132135736565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10723 (or 10685 counting only the distinct ones).

The product of its digits is 1701000, while the sum is 47.

The spelling of 132135736565 in words is "one hundred thirty-two billion, one hundred thirty-five million, seven hundred thirty-six thousand, five hundred sixty-five".

Divisors: 1 5 7 31 35 49 53 155 217 245 265 371 961 1085 1519 1643 1855 2597 4805 6727 7595 8215 10589 11501 12985 33635 47089 50933 52945 57505 74123 80507 235445 254665 328259 356531 370615 402535 518861 561217 1641295 1782655 2297813 2495717 2594305 2806085 3928519 10176029 11489065 12478585 16084691 17397727 19642595 27499633 50880145 71232203 80423455 86988635 121784089 137498165 356161015 498625421 539329537 608920445 852488623 2493127105 2696647685 3775306759 4262443115 18876533795 26427147313 132135736565