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135632035 = 57111722353
BaseRepresentation
bin10000001010110…
…01010010100011
3100110012211011201
420011121102203
5234210211120
621243022031
73234565450
oct1005312243
9313184151
10135632035
116a6193a0
123950a917
132213b156
1414028827
15bd9240a
hex81594a3

135632035 has 96 divisors (see below), whose sum is σ = 229174272. Its totient is φ = 74680320.

The previous prime is 135632033. The next prime is 135632039. The reversal of 135632035 is 530236531.

It is not a de Polignac number, because 135632035 - 21 = 135632033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135631994 and 135632012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135632033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2559069 + ... + 2559121.

It is an arithmetic number, because the mean of its divisors is an integer number (2387232).

Almost surely, 2135632035 is an apocalyptic number.

135632035 is a deficient number, since it is larger than the sum of its proper divisors (93542237).

135632035 is a wasteful number, since it uses less digits than its factorization.

135632035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 135632035 is about 11646.1167347747. The cubic root of 135632035 is about 513.7921042998.

Adding to 135632035 its reverse (530236531), we get a palindrome (665868566).

The spelling of 135632035 in words is "one hundred thirty-five million, six hundred thirty-two thousand, thirty-five".

Divisors: 1 5 7 11 17 23 35 53 55 77 85 115 119 161 187 253 265 289 371 385 391 583 595 805 901 935 1219 1265 1309 1445 1771 1855 1955 2023 2737 2915 3179 4081 4301 4505 6095 6307 6545 6647 8533 8855 9911 10115 13409 13685 15317 15895 20405 20723 21505 22253 30107 31535 33235 42665 46529 49555 67045 69377 73117 76585 93863 103615 107219 111265 145061 150535 168487 227953 232645 346885 352291 365585 469315 511819 536095 725305 842435 1139765 1179409 1595671 1761455 2466037 2559095 3875201 5897045 7978355 12330185 19376005 27126407 135632035