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135523545513125 = 5472112411669279
BaseRepresentation
bin11110110100001000001000…
…110010011111110010100101
3122202211220221220101010100012
4132310020020302133302211
5120230404210122410000
61200122353551500005
740355152536666200
oct3664101062376245
9582756856333305
10135523545513125
113a200238394740
1213249455227605
135a80a7a8854b3
142567535c98937
1510a0429a66735
hex7b4208c9fca5

135523545513125 has 120 divisors (see below), whose sum is σ = 215800124855040. Its totient is φ = 84131611200000.

The previous prime is 135523545513113. The next prime is 135523545513131. The reversal of 135523545513125 is 521315545325531.

It is not a de Polignac number, because 135523545513125 - 28 = 135523545512869 is a prime.

It is a super-3 number, since 3×1355235455131253 (a number of 43 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 80352236 + ... + 82021514.

It is an arithmetic number, because the mean of its divisors is an integer number (1798334373792).

Almost surely, 2135523545513125 is an apocalyptic number.

It is an amenable number.

135523545513125 is a deficient number, since it is larger than the sum of its proper divisors (80276579341915).

135523545513125 is a wasteful number, since it uses less digits than its factorization.

135523545513125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669565 (or 1669543 counting only the distinct ones).

The product of its digits is 6750000, while the sum is 50.

The spelling of 135523545513125 in words is "one hundred thirty-five trillion, five hundred twenty-three billion, five hundred forty-five million, five hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 125 175 241 245 275 385 539 625 875 1205 1225 1375 1687 1925 2651 2695 4375 6025 6125 6875 8435 9625 11809 13255 13475 18557 30125 30625 42175 48125 59045 66275 67375 92785 129899 150625 210875 295225 331375 336875 463925 649495 1054375 1476125 1656875 1669279 2319625 3247475 7380625 8346395 11598125 11684953 16237375 18362069 41731975 58424765 81186875 81794671 91810345 128534483 208659875 292123825 402296239 408973355 459051725 642672415 899741381 1043299375 1460619125 2011481195 2044866775 2295258625 2816073673 3213362075 4425258629 4498706905 7303095625 10057405975 10224333875 11476293125 14080368365 16066810375 19712515711 22126293145 22493534525 30976810403 50287029875 51121669375 70401841825 80334051875 98562578555 110631465725 112467672625 154884052015 216837672821 251435149375 352009209125 492812892775 553157328625 562338363125 774420260075 1084188364105 1760046045625 2464064463875 2765786643125 3872101300375 5420941820525 12320322319375 19360506501875 27104709102625 135523545513125