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134823573900 = 223352197325309
BaseRepresentation
bin111110110010000011…
…1000111100110001100
3110220000002100012002000
41331210013013212030
54202104313331100
6141534225032300
712512024320011
oct1754407074614
9426002305060
10134823573900
11521a6435644
1222168185690
13c938311182
14674dd63708
15379156a900
hex1f641c798c

134823573900 has 144 divisors (see below), whose sum is σ = 433669639200. Its totient is φ = 35933310720.

The previous prime is 134823573889. The next prime is 134823573919. The reversal of 134823573900 is 9375328431.

134823573900 is a `hidden beast` number, since 1 + 348 + 235 + 73 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×1348235739002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5314446 + ... + 5339754.

Almost surely, 2134823573900 is an apocalyptic number.

134823573900 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 134823573900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216834819600).

134823573900 is an abundant number, since it is smaller than the sum of its proper divisors (298846065300).

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

134823573900 is a wasteful number, since it uses less digits than its factorization.

134823573900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27305 (or 27292 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 134823573900 in words is "one hundred thirty-four billion, eight hundred twenty-three million, five hundred seventy-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 1973 2700 3946 5919 7892 9865 11838 17757 19730 23676 25309 29595 35514 39460 49325 50618 53271 59190 71028 75927 88785 98650 101236 106542 118380 126545 147975 151854 177570 197300 213084 227781 253090 266355 295950 303708 355140 379635 443925 455562 506180 532710 591900 632725 683343 759270 887850 911124 1065420 1138905 1265450 1331775 1366686 1518540 1775700 1898175 2277810 2530900 2663550 2733372 3416715 3796350 4555620 5327100 5694525 6833430 7592700 11389050 13666860 17083575 22778100 34167150 49934657 68334300 99869314 149803971 199738628 249673285 299607942 449411913 499346570 599215884 749019855 898823826 998693140 1248366425 1348235739 1498039710 1797647652 2247059565 2496732850 2696471478 2996079420 3745099275 4494119130 4993465700 5392942956 6741178695 7490198550 8988238260 11235297825 13482357390 14980397100 22470595650 26964714780 33705893475 44941191300 67411786950 134823573900