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132656136123640 = 235174335411281221
BaseRepresentation
bin11110001010011001101001…
…110111101111010011111000
3122101200210200012201202001111
4132022121221313233103320
5114341414231321424030
61150045215421130104
736641042501222563
oct3612315167572370
9571623605652044
10132656136123640
11392a517355a118
1212a657936b9934
13590355c86335c
1424a883c5474da
151050a5580e62a
hex78a669def4f8

132656136123640 has 128 divisors (see below), whose sum is σ = 323474935734720. Its totient is φ = 48765898137600.

The previous prime is 132656136123491. The next prime is 132656136123653. The reversal of 132656136123640 is 46321631656231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102898230 + ... + 104179450.

Almost surely, 2132656136123640 is an apocalyptic number.

132656136123640 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 132656136123640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161737467867360).

132656136123640 is an abundant number, since it is smaller than the sum of its proper divisors (190818799611080).

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

132656136123640 is a wasteful number, since it uses less digits than its factorization.

132656136123640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284833 (or 1284829 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 49.

Adding to 132656136123640 its reverse (46321631656231), we get a palindrome (178977767779871).

The spelling of 132656136123640 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, one hundred thirty-six million, one hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 340 344 430 680 731 860 1462 1720 2924 3541 3655 5848 7082 7310 14164 14620 17705 28328 29240 35410 60197 70820 120394 141640 152263 240788 300985 304526 481576 601970 609052 761315 1203940 1218104 1281221 1522630 2407880 2562442 2588471 3045260 5124884 5176942 6090520 6406105 10249768 10353884 12812210 12942355 20707768 21780757 25624420 25884710 43561514 51248840 51769420 55092503 87123028 103538840 108903785 110185006 174246056 217807570 220370012 275462515 435615140 440740024 550925030 871230280 936572551 1101850060 1873145102 2203700120 3746290204 4536803561 4682862755 7492580408 9073607122 9365725510 18147214244 18731451020 22684017805 36294428488 37462902040 45368035610 77125660537 90736071220 154251321074 181472142440 195082553123 308502642148 385628302685 390165106246 617005284296 771256605370 780330212492 975412765615 1542513210740 1560660424984 1950825531230 3085026421480 3316403403091 3901651062460 6632806806182 7803302124920 13265613612364 16582017015455 26531227224728 33164034030910 66328068061820 132656136123640