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135166352140536 = 2334323280192861
BaseRepresentation
bin11110101110111011011110…
…011001111010100011111000
3122201120202222111000201212020
4132232323132121322203320
5120204031142121444121
61155250322010114440
740320306132266163
oct3656733631724370
9581522874021766
10135166352140536
113a082801005072
12131b0189a1ba20
135a561949073b2
14255412cd30ada
151095ec124d1c6
hex7aeede67a8f8

135166352140536 has 96 divisors (see below), whose sum is σ = 345971418019920. Its totient is φ = 44005833984000.

The previous prime is 135166352140531. The next prime is 135166352140543. The reversal of 135166352140536 is 635041253661531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135166352140531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455530746 + ... + 1455623606.

Almost surely, 2135166352140536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135166352140536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172985709009960).

135166352140536 is an abundant number, since it is smaller than the sum of its proper divisors (210805065879384).

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

135166352140536 is a wasteful number, since it uses less digits than its factorization.

135166352140536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125757 (or 125710 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 51.

The spelling of 135166352140536 in words is "one hundred thirty-five trillion, one hundred sixty-six billion, three hundred fifty-two million, one hundred forty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1849 3698 5547 7396 11094 14792 22188 32801 44376 65602 92861 98403 131204 185722 196806 262408 278583 371444 393612 557166 742888 787224 1114332 1410443 2228664 2820886 3993023 4231329 5641772 7986046 8462658 11283544 11979069 15972092 16925316 23958138 31944184 33850632 47916276 60649049 95832552 121298098 171699989 181947147 242596196 343399978 363894294 485192392 515099967 686799956 727788588 1030199934 1373599912 1455577176 2060399868 3045933661 4120799736 6091867322 9137800983 12183734644 18275601966 24367469288 36551203932 73102407864 130975147423 261950294846 392925442269 523900589692 785850884538 1047801179384 1571701769076 3143403538152 5631931339189 11263862678378 16895794017567 22527725356756 33791588035134 45055450713512 67583176070268 135166352140536