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135516949155 = 3457439108887
BaseRepresentation
bin111111000110101110…
…0001000101010100011
3110221210102001022010000
41332031130020222203
54210014314333110
6142131114311043
712535144030140
oct1761534105243
9427712038100
10135516949155
115252186a745
1222320428483
13ca18b710a3
1467b80953c7
1537d23801c0
hex1f8d708aa3

135516949155 has 80 divisors (see below), whose sum is σ = 278265461760. Its totient is φ = 61808920128.

The previous prime is 135516949147. The next prime is 135516949189. The reversal of 135516949155 is 551949615531.

It is a happy number.

135516949155 is a `hidden beast` number, since 1 + 35 + 516 + 9 + 4 + 91 + 5 + 5 = 666.

It is not a de Polignac number, because 135516949155 - 23 = 135516949147 is a prime.

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 79 ways as a sum of consecutive naturals, for example, 1190122 + ... + 1299008.

It is an arithmetic number, because the mean of its divisors is an integer number (3478318272).

Almost surely, 2135516949155 is an apocalyptic number.

135516949155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135516949155 is an abundant number, since it is smaller than the sum of its proper divisors (142748512605).

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

135516949155 is a wasteful number, since it uses less digits than its factorization.

135516949155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109350 (or 109341 counting only the distinct ones).

The product of its digits is 3645000, while the sum is 54.

The spelling of 135516949155 in words is "one hundred thirty-five billion, five hundred sixteen million, nine hundred forty-nine thousand, one hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 439 567 945 1317 2195 2835 3073 3951 6585 9219 11853 15365 19755 27657 35559 46095 59265 82971 108887 138285 177795 248913 326661 414855 544435 762209 979983 1244565 1633305 2286627 2939949 3811045 4899915 6859881 8819847 11433135 14699745 20579643 34299405 44099235 47801393 61738929 102898215 143404179 239006965 308694645 334609751 430212537 717020895 1003829253 1290637611 1673048755 2151062685 3011487759 3871912833 5019146265 6453188055 9034463277 15057438795 19359564165 27103389831 45172316385 135516949155