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135302352240 = 24351173702067
BaseRepresentation
bin111111000000010100…
…1100000110101110000
3110221020110020122111010
41332000221200311300
54204044400232430
6142053530550520
712526630006146
oct1760051406560
9427213218433
10135302352240
1152421717920
1222280598440
13c9b3575a73
146797793596
1537bd5e0cb0
hex1f80a60d70

135302352240 has 160 divisors (see below), whose sum is σ = 463836669696. Its totient is φ = 32351201280.

The previous prime is 135302352203. The next prime is 135302352253. The reversal of 135302352240 is 42253203531.

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

It is a junction number, because it is equal to n+sod(n) for n = 135302352198 and 135302352207.

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, 158314 + ... + 543753.

Almost surely, 2135302352240 is an apocalyptic number.

135302352240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135302352240 is an abundant number, since it is smaller than the sum of its proper divisors (328534317456).

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

135302352240 is a wasteful number, since it uses less digits than its factorization.

135302352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702167 (or 702161 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 135302352240 its reverse (42253203531), we get a palindrome (177555555771).

The spelling of 135302352240 in words is "one hundred thirty-five billion, three hundred two million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 73 80 88 110 120 132 146 165 176 219 220 240 264 292 330 365 438 440 528 584 660 730 803 876 880 1095 1168 1320 1460 1606 1752 2190 2409 2640 2920 3212 3504 4015 4380 4818 5840 6424 8030 8760 9636 12045 12848 16060 17520 19272 24090 32120 38544 48180 64240 96360 192720 702067 1404134 2106201 2808268 3510335 4212402 5616536 7020670 7722737 8424804 10531005 11233072 14041340 15445474 16849608 21062010 23168211 28082680 30890948 33699216 38613685 42124020 46336422 51250891 56165360 61781896 77227370 84248040 92672844 102501782 115841055 123563792 153752673 154454740 168496080 185345688 205003564 231682110 256254455 307505346 308909480 370691376 410007128 463364220 512508910 563759801 615010692 617818960 768763365 820014256 926728440 1025017820 1127519602 1230021384 1537526730 1691279403 1853456880 2050035640 2255039204 2460042768 2818799005 3075053460 3382558806 4100071280 4510078408 5637598010 6150106920 6765117612 8456397015 9020156816 11275196020 12300213840 13530235224 16912794030 22550392040 27060470448 33825588060 45100784080 67651176120 135302352240