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132170134140 = 2232511211316363
BaseRepresentation
bin111101100010111110…
…1000011001001111100
3110122011011102111000100
41323011331003021330
54131141023243030
6140415040401100
712356204414022
oct1730575031174
9418134374010
10132170134140
1151064660020
1221747616190
13c60467a285
14657b7b0712
153688631360
hex1ec5f4327c

132170134140 has 144 divisors (see below), whose sum is σ = 439437188736. Its totient is φ = 31889289600.

The previous prime is 132170134127. The next prime is 132170134199. The reversal of 132170134140 is 41431071231.

132170134140 is a `hidden beast` number, since 1 + 321 + 70 + 134 + 140 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259599 + ... + 575961.

It is an arithmetic number, because the mean of its divisors is an integer number (3051647144).

Almost surely, 2132170134140 is an apocalyptic number.

132170134140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132170134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219718594368).

132170134140 is an abundant number, since it is smaller than the sum of its proper divisors (307267054596).

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

132170134140 is a wasteful number, since it uses less digits than its factorization.

132170134140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316600 (or 316595 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 132170134140 in words is "one hundred thirty-two billion, one hundred seventy million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 211 220 330 396 422 495 633 660 844 990 1055 1266 1899 1980 2110 2321 2532 3165 3798 4220 4642 6330 6963 7596 9284 9495 11605 12660 13926 18990 20889 23210 27852 34815 37980 41778 46420 69630 83556 104445 139260 208890 316363 417780 632726 949089 1265452 1581815 1898178 2847267 3163630 3479993 3796356 4745445 5694534 6327260 6959986 9490890 10439979 11389068 13919972 14236335 17399965 18981780 20879958 28472670 31319937 34799930 41759916 52199895 56945340 62639874 66752593 69599860 104399790 125279748 133505186 156599685 200257779 208799580 267010372 313199370 333762965 400515558 600773337 626398740 667525930 734278523 801031116 1001288895 1201546674 1335051860 1468557046 2002577790 2202835569 2403093348 2937114092 3003866685 3671392615 4005155580 4405671138 6007733370 6608506707 7342785230 8811342276 11014177845 12015466740 13217013414 14685570460 22028355690 26434026828 33042533535 44056711380 66085067070 132170134140