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135574567440 = 243513409106243
BaseRepresentation
bin111111001000011011…
…1111011101000010000
3110221221102110121112120
41332100313323220100
54210124042124230
6142140533254240
712536443544364
oct1762067735020
9427842417476
10135574567440
1152551344164
1222337794380
13ca27a95c50
1467c19b32a4
1537d7462310
hex1f90dfba10

135574567440 has 160 divisors (see below), whose sum is σ = 453721376640. Its totient is φ = 33290293248.

The previous prime is 135574567421. The next prime is 135574567451. The reversal of 135574567440 is 44765475531.

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, 1222959 + ... + 1329201.

It is an arithmetic number, because the mean of its divisors is an integer number (2835758604).

Almost surely, 2135574567440 is an apocalyptic number.

135574567440 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 135574567440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860688320).

135574567440 is an abundant number, since it is smaller than the sum of its proper divisors (318146809200).

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

135574567440 is a wasteful number, since it uses less digits than its factorization.

135574567440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106681 (or 106675 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 51.

The spelling of 135574567440 in words is "one hundred thirty-five billion, five hundred seventy-four million, five hundred sixty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 409 520 624 780 818 1040 1227 1560 1636 2045 2454 3120 3272 4090 4908 5317 6135 6544 8180 9816 10634 12270 15951 16360 19632 21268 24540 26585 31902 32720 42536 49080 53170 63804 79755 85072 98160 106243 106340 127608 159510 212486 212680 255216 318729 319020 424972 425360 531215 637458 638040 849944 1062430 1274916 1276080 1381159 1593645 1699888 2124860 2549832 2762318 3187290 4143477 4249720 5099664 5524636 6374580 6905795 8286954 8499440 11049272 12749160 13811590 16573908 20717385 22098544 25498320 27623180 33147816 41434770 43453387 55246360 66295632 82869540 86906774 110492720 130360161 165739080 173813548 217266935 260720322 331478160 347627096 434533870 521440644 564894031 651800805 695254192 869067740 1042881288 1129788062 1303601610 1694682093 1738135480 2085762576 2259576124 2607203220 2824470155 3389364186 3476270960 4519152248 5214406440 5648940310 6778728372 8473410465 9038304496 10428812880 11297880620 13557456744 16946820930 22595761240 27114913488 33893641860 45191522480 67787283720 135574567440