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135401054523540 = 223513173591095543
BaseRepresentation
bin11110110010010110000011…
…110000011101000010010100
3122202102012210021222010112020
4132302112003300131002110
5120221402324424223130
61155550215152453140
740343255232523401
oct3662260360350224
9582365707863466
10135401054523540
113a1632a0420243
121322976b24a1b0
135a723595a4cc0
142561635ba92a8
15109c15b064e10
hex7b2583c1d094

135401054523540 has 48 divisors (see below), whose sum is σ = 408286256719488. Its totient is φ = 33329490344064.

The previous prime is 135401054523523. The next prime is 135401054523629. The reversal of 135401054523540 is 45325450104531.

It is a junction number, because it is equal to n+sod(n) for n = 135401054523492 and 135401054523501.

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, 86795546992 + ... + 86795548551.

It is an arithmetic number, because the mean of its divisors is an integer number (8505963681656).

Almost surely, 2135401054523540 is an apocalyptic number.

135401054523540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135401054523540 is an abundant number, since it is smaller than the sum of its proper divisors (272885202195948).

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

135401054523540 is a wasteful number, since it uses less digits than its factorization.

135401054523540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173591095568 (or 173591095566 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 135401054523540 in words is "one hundred thirty-five trillion, four hundred one billion, fifty-four million, five hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 173591095543 347182191086 520773286629 694364382172 867955477715 1041546573258 1735910955430 2083093146516 2256684242059 2603866433145 3471821910860 4513368484118 5207732866290 6770052726177 9026736968236 10415465732580 11283421210295 13540105452354 22566842420590 27080210904708 33850263630885 45133684841180 67700527261770 135401054523540