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134820713775 = 35211237478543
BaseRepresentation
bin111110110001111110…
…0001101010100101111
3110212222212221212201110
41331203330031110233
54202103100320100
6141534043443103
712511661105316
oct1754374152457
9425885855643
10134820713775
11521a4861800
1222167226493
13c93784c3a7
14674d81b27d
1537911a3250
hex1f63f0d52f

134820713775 has 144 divisors (see below), whose sum is σ = 257015549952. Its totient is φ = 62240428800.

The previous prime is 134820713719. The next prime is 134820713843. The reversal of 134820713775 is 577317028431.

It is not a de Polignac number, because 134820713775 - 29 = 134820713263 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15777154 + ... + 15785696.

It is an arithmetic number, because the mean of its divisors is an integer number (1784830208).

Almost surely, 2134820713775 is an apocalyptic number.

134820713775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

134820713775 is a deficient number, since it is larger than the sum of its proper divisors (122194836177).

134820713775 is a wasteful number, since it uses less digits than its factorization.

134820713775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8662 (or 8646 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 134820713775 in words is "one hundred thirty-four billion, eight hundred twenty million, seven hundred thirteen thousand, seven hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 37 47 55 75 111 121 141 165 185 235 275 363 407 517 555 605 705 825 925 1175 1221 1551 1739 1815 2035 2585 2775 3025 3525 4477 5217 5687 6105 7755 8543 8695 9075 10175 12925 13431 17061 19129 22385 25629 26085 28435 30525 38775 42715 43475 57387 67155 85305 93973 95645 111925 128145 130425 142175 210419 213575 281919 286935 316091 335775 401521 426525 469865 478225 631257 640725 948273 1033703 1052095 1204563 1409595 1434675 1580455 2007605 2349325 3101109 3156285 3477001 4416731 4741365 5168515 5260475 6022815 7047975 7902275 10038025 10431003 13250193 14856277 15505545 15781425 17385005 22083655 23706825 25842575 30114075 38247011 44568831 48584041 52155015 66250965 74281385 77527725 86925025 110418275 114741033 145752123 163419047 191235055 222844155 242920205 260775075 331254825 371406925 490257141 573705165 728760615 817095235 956175275 1114220775 1214601025 1797609517 2451285705 2868525825 3643803075 4085476175 5392828551 8988047585 12256428525 26964142755 44940237925 134820713775