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135028449252 = 22341721442057
BaseRepresentation
bin111110111000001010…
…0101001111111100100
3110220112100211221020000
41331300110221333210
54203014240334002
6142010424141300
712520062611154
oct1756024517744
9426470757200
10135028449252
11522a1048514
1222204907830
13c96b8b45a8
14676d254764
1537a453961c
hex1f70529fe4

135028449252 has 90 divisors (see below), whose sum is σ = 374976899682. Its totient is φ = 42361837056.

The previous prime is 135028449233. The next prime is 135028449301. The reversal of 135028449252 is 252944820531.

135028449252 is a `hidden beast` number, since 1 + 3 + 502 + 8 + 4 + 4 + 92 + 52 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 51544437156 + 83484012096 = 227034^2 + 288936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135028449198 and 135028449207.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 627393 + ... + 814664.

Almost surely, 2135028449252 is an apocalyptic number.

135028449252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135028449252 is an abundant number, since it is smaller than the sum of its proper divisors (239948450430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135028449252 is a wasteful number, since it uses less digits than its factorization.

135028449252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442107 (or 1442079 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 135028449252 in words is "one hundred thirty-five billion, twenty-eight million, four hundred forty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2601 2754 3468 5202 5508 7803 10404 15606 23409 31212 46818 93636 1442057 2884114 4326171 5768228 8652342 12978513 17304684 24514969 25957026 38935539 49029938 51914052 73544907 77871078 98059876 116806617 147089814 155742156 220634721 233613234 294179628 416754473 441269442 467226468 661904163 833508946 882538884 1250263419 1323808326 1667017892 1985712489 2500526838 2647616652 3750790257 3971424978 5001053676 7501580514 7942849956 11252370771 15003161028 22504741542 33757112313 45009483084 67514224626 135028449252