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135347480748 = 223223163463141
BaseRepresentation
bin111111000001101010…
…1101010100010101100
3110221100121011102011100
41332003111222202230
54204142423340443
6142102222123100
712531015414144
oct1760325524254
9427317142140
10135347480748
1152445140607
1222293720490
13c9bca16a1c
14679d77d924
1537c25573d3
hex1f8356a8ac

135347480748 has 36 divisors (see below), whose sum is σ = 357003502128. Its totient is φ = 43154268960.

The previous prime is 135347480711. The next prime is 135347480753. The reversal of 135347480748 is 847084743531.

135347480748 is a `hidden beast` number, since 1 + 3 + 53 + 47 + 480 + 74 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 135347480694 and 135347480703.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 81730743 + ... + 81732398.

It is an arithmetic number, because the mean of its divisors is an integer number (9916763948).

Almost surely, 2135347480748 is an apocalyptic number.

135347480748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135347480748 is an abundant number, since it is smaller than the sum of its proper divisors (221656021380).

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

135347480748 is a wasteful number, since it uses less digits than its factorization.

135347480748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163463174 (or 163463169 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 135347480748 in words is "one hundred thirty-five billion, three hundred forty-seven million, four hundred eighty thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 163463141 326926282 490389423 653852564 980778846 1471168269 1961557692 2942336538 3759652243 5884673076 7519304486 11278956729 15038608972 22557913458 33836870187 45115826916 67673740374 135347480748