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135113450160 = 24351344239791
BaseRepresentation
bin111110111010101100…
…0111010001010110000
3110220202021210102112210
41331311120322022300
54203203020401120
6142023102052120
712522144243213
oct1756530721260
9426667712483
10135113450160
11523350249a7
122222927a040
13c9833a5ca0
14677a65d77a
1537abc29ce0
hex1f7563a2b0

135113450160 has 160 divisors (see below), whose sum is σ = 451219120128. Its totient is φ = 33247779840.

The previous prime is 135113450141. The next prime is 135113450249. The reversal of 135113450160 is 61054311531.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 13794865 + ... + 13804655.

Almost surely, 2135113450160 is an apocalyptic number.

135113450160 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 135113450160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225609560064).

135113450160 is an abundant number, since it is smaller than the sum of its proper divisors (316105669968).

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

135113450160 is a wasteful number, since it uses less digits than its factorization.

135113450160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14243 (or 14237 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 135113450160 its reverse (61054311531), we get a palindrome (196167761691).

The spelling of 135113450160 in words is "one hundred thirty-five billion, one hundred thirteen million, four hundred fifty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4423 8846 9791 13269 17692 19582 22115 26538 29373 35384 39164 44230 48955 53076 57499 58746 66345 70768 78328 88460 97910 106152 114998 117492 127283 132690 146865 156656 172497 176920 195820 212304 229996 234984 254566 265380 287495 293730 344994 353840 381849 391640 459992 469968 509132 530760 574990 587460 636415 689988 763698 783280 862485 919984 1018264 1061520 1149980 1174920 1272830 1379976 1527396 1724970 1909245 2036528 2299960 2349840 2545660 2759952 3054792 3449940 3818490 4599920 5091320 6109584 6899880 7636980 10182640 13799760 15273960 30547920 43305593 86611186 129916779 173222372 216527965 259833558 346444744 433055930 519667116 562972709 649583895 692889488 866111860 1039334232 1125945418 1299167790 1688918127 1732223720 2078668464 2251890836 2598335580 2814863545 3377836254 3464447440 4503781672 5196671160 5629727090 6755672508 8444590635 9007563344 10393342320 11259454180 13511345016 16889181270 22518908360 27022690032 33778362540 45037816720 67556725080 135113450160