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135531515133300 = 2235211133159242777
BaseRepresentation
bin11110110100001111100011…
…110100001011110101110100
3122202212200112022121202221210
4132310033203310023311310
5120231022020333231200
61200130152444241420
740355554201436346
oct3664174364136564
9582780468552853
10135531515133300
113a203657aa22a0
121324aaba240270
135a8174aa1c790
142567a904d5296
1510a0744560650
hex7b43e3d0bd74

135531515133300 has 144 divisors (see below), whose sum is σ = 460693418859072. Its totient is φ = 30328730649600.

The previous prime is 135531515133269. The next prime is 135531515133307. The reversal of 135531515133300 is 3331515135531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135531515133307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1579578489 + ... + 1579664288.

It is an arithmetic number, because the mean of its divisors is an integer number (3199259853188).

Almost surely, 2135531515133300 is an apocalyptic number.

135531515133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135531515133300 is an abundant number, since it is smaller than the sum of its proper divisors (325161903725772).

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

135531515133300 is a wasteful number, since it uses less digits than its factorization.

135531515133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159242818 (or 3159242811 counting only the distinct ones).

The product of its (nonzero) digits is 151875, while the sum is 39.

The spelling of 135531515133300 in words is "one hundred thirty-five trillion, five hundred thirty-one billion, five hundred fifteen million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 14300 21450 42900 3159242777 6318485554 9477728331 12636971108 15796213885 18955456662 31592427770 34751670547 37910913324 41070156101 47388641655 63184855540 69503341094 78981069425 82140312202 94777283310 104255011641 123210468303 139006682188 157962138850 164280624404 173758352735 189554566620 205350780505 208510023282 236943208275 246420936606 315924277700 347516705470 410701561010 417020046564 451771717111 473886416550 492841873212 521275058205 616052341515 695033410940 821403122020 868791763675 903543434222 947772833100 1026753902525 1042550116410 1232104683030 1355315151333 1737583527350 1807086868444 2053507805050 2085100232820 2258858585555 2464209366060 2606375291025 2710630302666 3080261707575 3475167054700 4107015610100 4517717171110 5212750582050 5421260605332 6160523415150 6776575756665 9035434342220 10425501164100 11294292927775 12321046830300 13553151513330 22588585855550 27106303026660 33882878783325 45177171711100 67765757566650 135531515133300