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135302275809 = 32197376114243
BaseRepresentation
bin111111000000010100…
…1001110001011100001
3110221020110002202122100
41332000221032023201
54204044340311214
6142053525201013
712526626240261
oct1760051161341
9427213082570
10135302275809
1152421675458
1222280560169
13c9b354a03c
1467977737a1
1537bd5c8309
hex1f80a4e2e1

135302275809 has 48 divisors (see below), whose sum is σ = 208829574720. Its totient is φ = 84166801920.

The previous prime is 135302275763. The next prime is 135302275813. The reversal of 135302275809 is 908572203531.

135302275809 is a `hidden beast` number, since 1 + 35 + 30 + 2 + 2 + 7 + 580 + 9 = 666.

It is not a de Polignac number, because 135302275809 - 228 = 135033840353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135302275819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9492442 + ... + 9506684.

It is an arithmetic number, because the mean of its divisors is an integer number (4350616140).

Almost surely, 2135302275809 is an apocalyptic number.

135302275809 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

135302275809 is a deficient number, since it is larger than the sum of its proper divisors (73527298911).

135302275809 is a wasteful number, since it uses less digits than its factorization.

135302275809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15102 (or 15099 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 135302275809 in words is "one hundred thirty-five billion, three hundred two million, two hundred seventy-five thousand, eight hundred nine".

Divisors: 1 3 9 19 57 73 171 219 657 761 1387 2283 4161 6849 12483 14243 14459 42729 43377 55553 128187 130131 166659 270617 499977 811851 1039739 1055507 2435553 3119217 3166521 9357651 9499563 10838923 19755041 32516769 59265123 97550307 177795369 205939537 617818611 791241379 1853455833 2373724137 7121172411 15033586201 45100758603 135302275809