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132895461120 = 2835227152459
BaseRepresentation
bin111101111000100101…
…1111100111100000000
3110201000201020220120120
41323301023330330000
54134132214223440
6141015030540240
712413162531652
oct1736113747400
9421021226516
10132895461120
11513a7028a04
122190a507680
13c6bba16636
146609c5c6d2
1536cc157dd0
hex1ef12fcf00

132895461120 has 144 divisors (see below), whose sum is σ = 426307432320. Its totient is φ = 35282440192.

The previous prime is 132895461089. The next prime is 132895461169. The reversal of 132895461120 is 21164598231.

It is a super-2 number, since 2×1328954611202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795451 + ... + 947909.

It is an arithmetic number, because the mean of its divisors is an integer number (2960468280).

Almost surely, 2132895461120 is an apocalyptic number.

132895461120 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 132895461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213153716160).

132895461120 is an abundant number, since it is smaller than the sum of its proper divisors (293411971200).

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

132895461120 is a wasteful number, since it uses less digits than its factorization.

132895461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152710 (or 152696 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 132895461120 in words is "one hundred thirty-two billion, eight hundred ninety-five million, four hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 227 240 256 320 384 454 480 640 681 768 908 960 1135 1280 1362 1816 1920 2270 2724 3405 3632 3840 4540 5448 6810 7264 9080 10896 13620 14528 18160 21792 27240 29056 36320 43584 54480 58112 72640 87168 108960 145280 152459 174336 217920 290560 304918 435840 457377 609836 762295 871680 914754 1219672 1524590 1829508 2286885 2439344 3049180 3659016 4573770 4878688 6098360 7318032 9147540 9757376 12196720 14636064 18295080 19514752 24393440 29272128 34608193 36590160 39029504 48786880 58544256 69216386 73180320 97573760 103824579 117088512 138432772 146360640 173040965 195147520 207649158 276865544 292721280 346081930 415298316 519122895 553731088 585442560 692163860 830596632 1038245790 1107462176 1384327720 1661193264 2076491580 2214924352 2768655440 3322386528 4152983160 4429848704 5537310880 6644773056 8305966320 8859697408 11074621760 13289546112 16611932640 22149243520 26579092224 33223865280 44298487040 66447730560 132895461120