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132405023135320 = 235137910730122447
BaseRepresentation
bin11110000110101111110010…
…010111101101011001011000
3122100210210111201100012222121
4132012233302113231121120
5114323310441410312240
61145334010010231024
736613642622103115
oct3606576227553130
9570723451305877
10132405023135320
113920872284a311
1212a24b92425474
1358b59810269c0
14249a619db590c
151049259e4604a
hex786bf25ed658

132405023135320 has 128 divisors (see below), whose sum is σ = 327925017907200. Its totient is φ = 47818057637376.

The previous prime is 132405023135311. The next prime is 132405023135321. The reversal of 132405023135320 is 23531320504231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132405023135321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10665664 + ... + 19456783.

It is an arithmetic number, because the mean of its divisors is an integer number (2561914202400).

Almost surely, 2132405023135320 is an apocalyptic number.

132405023135320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132405023135320 is an abundant number, since it is smaller than the sum of its proper divisors (195519994771880).

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

132405023135320 is a wasteful number, since it uses less digits than its factorization.

132405023135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30122657 (or 30122653 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 132405023135320 its reverse (23531320504231), we get a palindrome (155936343639551).

The spelling of 132405023135320 in words is "one hundred thirty-two trillion, four hundred five billion, twenty-three million, one hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 104 107 130 158 214 260 316 395 428 520 535 632 790 856 1027 1070 1391 1580 2054 2140 2782 3160 4108 4280 5135 5564 6955 8216 8453 10270 11128 13910 16906 20540 27820 33812 41080 42265 55640 67624 84530 109889 169060 219778 338120 439556 549445 879112 1098890 2197780 4395560 30122447 60244894 120489788 150612235 240979576 301224470 391591811 602448940 783183622 1204897880 1566367244 1957959055 2379673313 3132734488 3223101829 3915918110 4759346626 6446203658 7831836220 9518693252 11898366565 12892407316 15663672440 16115509145 19037386504 23796733130 25784814632 30935753069 32231018290 41900323777 47593466260 61871506138 64462036580 83800647554 95186932520 123743012276 128924073160 154678765345 167601295108 209501618885 247486024552 254625044491 309357530690 335202590216 419003237770 509250088982 618715061380 838006475540 1018500177964 1237430122760 1273125222455 1676012951080 2037000355928 2546250444910 3310125578383 5092500889820 6620251156766 10185001779640 13240502313532 16550627891915 26481004627064 33101255783830 66202511567660 132405023135320