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135453340410520 = 235111773692457421
BaseRepresentation
bin11110110011000110110000…
…001111010010001010011000
3122202121012202012002101120211
4132303012300033102022120
5120223231420121114040
61200030223332500504
740350116022320566
oct3663066017221230
9582535665071524
10135453340410520
113a183491444a90
121323792177a734
135a7726cab8172
142563d95d32a36
15109d6bb43e8ea
hex7b31b03d2298

135453340410520 has 128 divisors (see below), whose sum is σ = 352081730721600. Its totient is φ = 46352052633600.

The previous prime is 135453340410473. The next prime is 135453340410523. The reversal of 135453340410520 is 25014043354531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135453340410523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53891410 + ... + 56348830.

Almost surely, 2135453340410520 is an apocalyptic number.

135453340410520 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 135453340410520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176040865360800).

135453340410520 is an abundant number, since it is smaller than the sum of its proper divisors (216628390311080).

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

135453340410520 is a wasteful number, since it uses less digits than its factorization.

135453340410520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464829 (or 2464825 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 135453340410520 in words is "one hundred thirty-five trillion, four hundred fifty-three billion, three hundred forty million, four hundred ten thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7369 7480 14738 29476 36845 58952 73690 81059 125273 147380 162118 250546 294760 324236 405295 501092 626365 648472 810590 1002184 1252730 1378003 1621180 2457421 2505460 2756006 3242360 4914842 5010920 5512012 6890015 9829684 11024024 12287105 13780030 19659368 24574210 27031631 27560060 41776157 49148420 54063262 55120120 83552314 98296840 108126524 135158155 167104628 208880785 216253048 270316310 334209256 417761570 459537727 540632620 835523140 919075454 1081265240 1671046280 1838150908 2297688635 3676301816 4595377270 9190754540 18108735349 18381509080 36217470698 72434941396 90543676745 144869882792 181087353490 199196088839 307848500933 362174706980 398392177678 615697001866 724349413960 796784355356 995980444195 1231394003732 1539242504665 1593568710712 1991960888390 2462788007464 3078485009330 3386333510263 3983921776780 6156970018660 6772667020526 7967843553560 12313940037320 13545334041052 16931667551315 27090668082104 33863335102630 67726670205260 135453340410520