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135522135 = 32572112039
BaseRepresentation
bin10000001001111…
…10011101010111
3100110000020102100
420010332131113
5234143202020
621240413143
73233630160
oct1004763527
9313006370
10135522135
116a553871
12394771b3
1322100118
1413dda767
15bd6ea90
hex813e757

135522135 has 48 divisors (see below), whose sum is σ = 269867520. Its totient is φ = 61629120.

The previous prime is 135522131. The next prime is 135522139. The reversal of 135522135 is 531225531.

It is a happy number.

135522135 is a `hidden beast` number, since 1 + 3 + 5 + 522 + 135 = 666.

It is an interprime number because it is at equal distance from previous prime (135522131) and next prime (135522139).

It is not a de Polignac number, because 135522135 - 22 = 135522131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135522099 and 135522108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135522131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65446 + ... + 67484.

It is an arithmetic number, because the mean of its divisors is an integer number (5622240).

Almost surely, 2135522135 is an apocalyptic number.

135522135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135522135 is a deficient number, since it is larger than the sum of its proper divisors (134345385).

135522135 is a wasteful number, since it uses less digits than its factorization.

135522135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2265 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 135522135 is about 11641.3974676583. The cubic root of 135522135 is about 513.6532948852.

Adding to 135522135 its reverse (531225531), we get a palindrome (666747666).

The spelling of 135522135 in words is "one hundred thirty-five million, five hundred twenty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 211 315 633 1055 1477 1899 2039 3165 4431 6117 7385 9495 10195 13293 14273 18351 22155 30585 42819 66465 71365 91755 128457 214095 430229 642285 1290687 2151145 3011603 3872061 6453435 9034809 15058015 19360305 27104427 45174045 135522135