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135355102520 = 235115913213947
BaseRepresentation
bin111111000001111001…
…0101111010100111000
3110221101010111122021012
41332003302233110320
54204201401240040
6142103053333052
712531140250101
oct1760362572470
9427333448235
10135355102520
11524494769a0
1222296197188
13c9c1484c51
1467a07a53a8
1537c3060865
hex1f83caf538

135355102520 has 128 divisors (see below), whose sum is σ = 338207788800. Its totient is φ = 48336921600.

The previous prime is 135355102517. The next prime is 135355102559. The reversal of 135355102520 is 25201553531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34291187 + ... + 34295133.

It is an arithmetic number, because the mean of its divisors is an integer number (2642248350).

Almost surely, 2135355102520 is an apocalyptic number.

135355102520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135355102520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169103894400).

135355102520 is an abundant number, since it is smaller than the sum of its proper divisors (202852686280).

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

135355102520 is a wasteful number, since it uses less digits than its factorization.

135355102520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 135355102520 in words is "one hundred thirty-five billion, three hundred fifty-five million, one hundred two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 649 1180 1298 1321 2360 2596 2642 3245 3947 5192 5284 6490 6605 7894 10568 12980 13210 14531 15788 19735 25960 26420 29062 31576 39470 43417 52840 58124 72655 77939 78940 86834 116248 145310 155878 157880 173668 217085 232873 290620 311756 347336 389695 434170 465746 581240 623512 779390 857329 868340 931492 1164365 1558780 1714658 1736680 1862984 2328730 2561603 3117560 3429316 4286645 4657460 5123206 5213987 6858632 8573290 9314920 10246412 10427974 12808015 17146580 20492824 20855948 25616030 26069935 34293160 41711896 51232060 52139870 57353857 102464120 104279740 114707714 208559480 229415428 286769285 307625233 458830856 573538570 615250466 1147077140 1230500932 1538126165 2294154280 2461001864 3076252330 3383877563 6152504660 6767755126 12305009320 13535510252 16919387815 27071020504 33838775630 67677551260 135355102520