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135148705184 = 256169236017
BaseRepresentation
bin111110111011101111…
…1011001010110100000
3110220211202010120100102
41331313133121112200
54203241032031214
6142030401441532
712523053016433
oct1756737312640
9426752116312
10135148705184
1152352a14589
12222390402a8
13c98a79ab4c
1467811d981a
1537aed90bde
hex1f777d95a0

135148705184 has 24 divisors (see below), whose sum is σ = 270435886308. Its totient is φ = 66466575360.

The previous prime is 135148705141. The next prime is 135148705187. The reversal of 135148705184 is 481507841531.

It can be written as a sum of positive squares in 2 ways, for example, as 134815277584 + 333427600 = 367172^2 + 18260^2 .

It is not an unprimeable number, because it can be changed into a prime (135148705187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34616057 + ... + 34619960.

Almost surely, 2135148705184 is an apocalyptic number.

It is an amenable number.

135148705184 is an abundant number, since it is smaller than the sum of its proper divisors (135287181124).

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

135148705184 is an equidigital number, since it uses as much as digits as its factorization.

135148705184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69236088 (or 69236080 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 47.

The spelling of 135148705184 in words is "one hundred thirty-five billion, one hundred forty-eight million, seven hundred five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 69236017 138472034 276944068 553888136 1107776272 2215552544 4223397037 8446794074 16893588148 33787176296 67574352592 135148705184