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134465461043325 = 35226327133175997
BaseRepresentation
bin11110100100101110101110…
…000010100100000001111101
3122122002202212011202220112220
4132210232232002210001331
5120111040231011341300
61153552325141315553
740215544322253456
oct3644565602440175
9578082764686486
10134465461043325
11399325332849a5
12130b8382a05bb9
135a050669700c9
14252c23d54a12d
151082b4dd26da0
hex7a4bae0a407d

134465461043325 has 96 divisors (see below), whose sum is σ = 224664660160512. Its totient is φ = 70962632928000.

The previous prime is 134465461043293. The next prime is 134465461043369. The reversal of 134465461043325 is 523340164564431.

It is a happy number.

It is not a de Polignac number, because 134465461043325 - 25 = 134465461043293 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 95 ways as a sum of consecutive naturals, for example, 1769314227 + ... + 1769390223.

It is an arithmetic number, because the mean of its divisors is an integer number (2340256876672).

Almost surely, 2134465461043325 is an apocalyptic number.

134465461043325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134465461043325 is a deficient number, since it is larger than the sum of its proper divisors (90199199117187).

134465461043325 is a wasteful number, since it uses less digits than its factorization.

134465461043325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76875 (or 76870 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 51.

The spelling of 134465461043325 in words is "one hundred thirty-four trillion, four hundred sixty-five billion, four hundred sixty-one million, forty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 75 263 271 331 789 813 993 1315 1355 1655 3945 4065 4965 6575 6775 8275 19725 20325 24825 71273 75997 87053 89701 213819 227991 261159 269103 356365 379985 435265 448505 1069095 1139955 1305795 1345515 1781825 1899925 2176325 2242525 5345475 5699775 6528975 6727575 19987211 20595187 23591363 25155007 59961633 61785561 70774089 75465021 99936055 102975935 117956815 125775035 299808165 308927805 353870445 377325105 499680275 514879675 589784075 628875175 1499040825 1544639025 1769352225 1886625525 5416534181 6615766841 6817006897 16249602543 19847300523 20451020691 27082670905 33078834205 34085034485 81248012715 99236502615 102255103455 135413354525 165394171025 170425172425 406240063575 496182513075 511275517275 1792872813911 5378618441733 8964364069555 26893092208665 44821820347775 134465461043325