Search a number
-
+
135453420131232 = 25371910608820499
BaseRepresentation
bin11110110011000110110100…
…111111011001001110100000
3122202121012221202002121211210
4132303012310333121032200
5120223232101023144412
61200030235301310120
740350121011041520
oct3663066477311640
9582535852077753
10135453420131232
113a183522445375
1213237944405340
135a7728347b398
142563da2765680
15109d6c343a83c
hex7b31b4fd93a0

135453420131232 has 96 divisors (see below), whose sum is σ = 427747642560000. Its totient is φ = 36664083641088.

The previous prime is 135453420131219. The next prime is 135453420131287. The reversal of 135453420131232 is 232131024354531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 5304397482 + ... + 5304423017.

It is an arithmetic number, because the mean of its divisors is an integer number (4455704610000).

Almost surely, 2135453420131232 is an apocalyptic number.

135453420131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135453420131232 is an abundant number, since it is smaller than the sum of its proper divisors (292294222428768).

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

135453420131232 is a wasteful number, since it uses less digits than its factorization.

135453420131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10608820538 (or 10608820530 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 135453420131232 its reverse (232131024354531), we get a palindrome (367584444485763).

The spelling of 135453420131232 in words is "one hundred thirty-five trillion, four hundred fifty-three billion, four hundred twenty million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 10608820499 21217640998 31826461497 42435281996 63652922994 74261743493 84870563992 127305845988 148523486986 169741127984 201567589481 222785230479 254611691976 297046973972 339482255968 403135178962 445570460958 509223383952 594093947944 604702768443 806270357924 891140921916 1018446767904 1188187895888 1209405536886 1410973126367 1612540715848 1782281843832 2376375791776 2418811073772 2821946252734 3225081431696 3564563687664 4232919379101 4837622147544 5643892505468 6450162863392 7129127375328 8465838758202 9675244295088 11287785010936 16931677516404 19350488590176 22575570021872 33863355032808 45151140043744 67726710065616 135453420131232