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135341135600 = 245211231337363
BaseRepresentation
bin111111000001011110…
…1011101011011110000
3110221100011020001020212
41332002331131123300
54204134312314400
6142101434123252
712530610446156
oct1760275353360
9427304201225
10135341135600
11524415a7390
1222291580528
13c9bb6048b8
14679c9ab3d6
1537c1c02335
hex1f82f5d6f0

135341135600 has 120 divisors (see below), whose sum is σ = 370139559552. Its totient is φ = 47075142400.

The previous prime is 135341135599. The next prime is 135341135609. The reversal of 135341135600 is 6531143531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135341135609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567482 + ... + 769881.

Almost surely, 2135341135600 is an apocalyptic number.

135341135600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135341135600 is an abundant number, since it is smaller than the sum of its proper divisors (234798423952).

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

135341135600 is a wasteful number, since it uses less digits than its factorization.

135341135600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337415 (or 1337404 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 135341135600 in words is "one hundred thirty-five billion, three hundred forty-one million, one hundred thirty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 176 184 200 220 230 253 275 368 400 440 460 506 550 575 880 920 1012 1100 1150 1265 1840 2024 2200 2300 2530 4048 4400 4600 5060 6325 9200 10120 12650 20240 25300 50600 101200 1337363 2674726 5349452 6686815 10698904 13373630 14710993 21397808 26747260 29421986 30759349 33434075 53494520 58843972 61518698 66868150 73554965 106989040 117687944 123037396 133736300 147109930 153796745 235375888 246074792 267472600 294219860 307593490 338352839 367774825 492149584 534945200 588439720 615186980 676705678 735549650 768983725 1176879440 1230373960 1353411356 1471099300 1537967450 1691764195 2460747920 2706822712 2942198600 3075934900 3383528390 5413645424 5884397200 6151869800 6767056780 8458820975 12303739600 13534113560 16917641950 27068227120 33835283900 67670567800 135341135600