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132015132413145 = 34547531071222957
BaseRepresentation
bin11110000001000100101011…
…000100101000110011011001
3122022102112010120011101010000
4132001010223010220303121
5114300413442344210040
61144434525315043213
736543531022460232
oct3601045304506331
9568375116141100
10132015132413145
113907833768aa83
12129815008a0509
135887c86c17577
1424857d06a0089
15103e03ace4130
hex78112b128cd9

132015132413145 has 160 divisors (see below), whose sum is σ = 248546078719488. Its totient is φ = 66977914977792.

The previous prime is 132015132413123. The next prime is 132015132413191. The reversal of 132015132413145 is 541314231510231.

132015132413145 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 513 + 2 + 4 + 131 + 4 + 5 = 666.

It is not a de Polignac number, because 132015132413145 - 25 = 132015132413113 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 107336007 + ... + 108558963.

Almost surely, 2132015132413145 is an apocalyptic number.

132015132413145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132015132413145 is a deficient number, since it is larger than the sum of its proper divisors (116530946306343).

132015132413145 is a wasteful number, since it uses less digits than its factorization.

132015132413145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223181 (or 1223172 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 132015132413145 its reverse (541314231510231), we get a palindrome (673329363923376).

The spelling of 132015132413145 in words is "one hundred thirty-two trillion, fifteen billion, one hundred thirty-two million, four hundred thirteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 47 53 81 107 135 141 159 235 265 321 405 423 477 535 705 795 963 1269 1431 1605 2115 2385 2491 2889 3807 4293 4815 5029 5671 6345 7155 7473 8667 12455 14445 15087 17013 19035 21465 22419 25145 28355 37365 43335 45261 51039 67257 75435 85065 112095 135783 153117 201771 226305 255195 266537 336285 407349 459351 678915 765585 799611 1008855 1222957 1332685 2036745 2296755 2398833 3668871 3998055 6114785 7196499 11006613 11994165 18344355 21589497 33019839 35982495 55033065 57478979 64816721 99059517 107947485 130856399 165099195 172436937 194450163 287394895 324083605 392569197 495297585 517310811 583350489 654281995 862184685 972250815 1177707591 1551932433 1750051467 1962845985 2586554055 2916752445 3046385887 3533122773 4655797299 5250154401 5888537955 6150250753 6935389147 7759662165 8750257335 9139157661 10599368319 15231929435 17665613865 18450752259 20806167441 23278986495 26250772005 27417472983 30751253765 34676945735 45695788305 52996841595 55352256777 62418502323 82252418949 92253761295 104030837205 137087364915 166056770331 187255506969 246757256847 276761283885 312092511615 325963289909 411262094745 498170310993 561766520907 830283851655 936277534845 977889869727 1233786284235 1629816449545 2490851554965 2808832604535 2933669609181 4889449348635 8801008827543 14668348045905 26403026482629 44005044137715 132015132413145