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133144612131000 = 2335354083820619
BaseRepresentation
bin11110010001100000100101…
…010011110101000010111000
3122110102111111221111222021210
4132101200211103311002320
5114422420131201143000
61151101442421203120
740021244415614121
oct3621404523650270
9573374457458253
10133144612131000
1139473349525358
1212b243992604a0
13593a638350b72
1424c433b05b048
15105d5e489b350
hex7918254f50b8

133144612131000 has 128 divisors (see below), whose sum is σ = 415419377068800. Its totient is φ = 35504530140800.

The previous prime is 133144612130989. The next prime is 133144612131023. The reversal of 133144612131000 is 131216441331.

It is a super-2 number, since 2×1331446121310002 (a number of 29 digits) contains 22 as substring.

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

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, 161838691 + ... + 162659309.

It is an arithmetic number, because the mean of its divisors is an integer number (3245463883350).

Almost surely, 2133144612131000 is an apocalyptic number.

133144612131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133144612131000 is an abundant number, since it is smaller than the sum of its proper divisors (282274764937800).

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

133144612131000 is a wasteful number, since it uses less digits than its factorization.

133144612131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874726 (or 874712 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 133144612131000 its reverse (131216441331), we get a palindrome (133275828572331).

The spelling of 133144612131000 in words is "one hundred thirty-three trillion, one hundred forty-four billion, six hundred twelve million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 54083 108166 162249 216332 270415 324498 432664 540830 648996 811245 820619 1081660 1297992 1352075 1622490 1641238 2163320 2461857 2704150 3244980 3282476 4056225 4103095 4923714 5408300 6489960 6564952 6760375 8112450 8206190 9847428 10816600 12309285 13520750 16224900 16412380 19694856 20281125 20515475 24618570 27041500 32449800 32824760 40562250 41030950 49237140 54083000 61546425 81124500 82061900 98474280 102577375 123092850 162249000 164123800 205154750 246185700 307732125 410309500 492371400 615464250 820619000 1230928500 2461857000 44381537377 88763074754 133144612131 177526149508 221907686885 266289224262 355052299016 443815373770 532578448524 665723060655 887630747540 1065156897048 1109538434425 1331446121310 1775261495080 2219076868850 2662892242620 3328615303275 4438153737700 5325784485240 5547692172125 6657230606550 8876307475400 11095384344250 13314461213100 16643076516375 22190768688500 26628922426200 33286153032750 44381537377000 66572306065500 133144612131000