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132125355440 = 245133112373313
BaseRepresentation
bin111101100001101001…
…0001110110110110000
3110122001001011111011222
41323003102032312300
54131043042333230
6140410400524212
712355121663621
oct1730322166660
9418031144158
10132125355440
1151041356131
1221734620668
13c5c82cc5c0
146575875a48
1536847386e5
hex1ec348edb0

132125355440 has 160 divisors (see below), whose sum is σ = 341872452096. Its totient is φ = 47158640640.

The previous prime is 132125355421. The next prime is 132125355443. The reversal of 132125355440 is 44553521231.

It is a self number, because there is not a number n which added to its sum of digits gives 132125355440.

It is not an unprimeable number, because it can be changed into a prime (132125355443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39879224 + ... + 39882536.

Almost surely, 2132125355440 is an apocalyptic number.

132125355440 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 132125355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170936226048).

132125355440 is an abundant number, since it is smaller than the sum of its proper divisors (209747096656).

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

132125355440 is a wasteful number, since it uses less digits than its factorization.

132125355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 132125355440 its reverse (44553521231), we get a palindrome (176678876671).

The spelling of 132125355440 in words is "one hundred thirty-two billion, one hundred twenty-five million, three hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1237 1240 1612 2015 2474 2480 3224 3313 4030 4948 6185 6448 6626 8060 9896 12370 13252 16081 16120 16565 19792 24740 26504 32162 32240 33130 38347 43069 49480 53008 64324 66260 76694 80405 86138 98960 102703 128648 132520 153388 160810 172276 191735 205406 215345 257296 265040 306776 321620 344552 383470 410812 430690 498511 513515 613552 643240 689104 766940 821624 861380 997022 1027030 1286480 1335139 1533880 1643248 1722760 1994044 2054060 2492555 2670278 3067760 3445520 3988088 4098181 4108120 4985110 5340556 6675695 7976176 8196362 8216240 9970220 10681112 13351390 16392724 19940440 20490905 21362224 26702780 32785448 39880880 40981810 53276353 53405560 65570896 81963620 106552706 106811120 127043611 163927240 213105412 254087222 266381765 327854480 426210824 508174444 532763530 635218055 852421648 1016348888 1065527060 1270436110 1651566943 2032697776 2131054120 2540872220 3303133886 4262108240 5081744440 6606267772 8257834715 10163488880 13212535544 16515669430 26425071088 33031338860 66062677720 132125355440