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135315677245 = 5723435921123
BaseRepresentation
bin111111000000101110…
…0010110000000111101
3110221021101022121221211
41332001130112000331
54204111303132440
6142055124324421
712530151164440
oct1760134260075
9427241277854
10135315677245
1152429199121
1222284b43711
13c9b625cb98
146799461657
1537be873eea
hex1f8171603d

135315677245 has 96 divisors (see below), whose sum is σ = 201742497792. Its totient is φ = 85144397184.

The previous prime is 135315677243. The next prime is 135315677249. The reversal of 135315677245 is 542776513531.

It is not a de Polignac number, because 135315677245 - 21 = 135315677243 is a prime.

It is a Duffinian number.

Its product of digits (2646000) is a multiple of the sum of its prime divisors (1260).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135315677243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120494254 + ... + 120495376.

It is an arithmetic number, because the mean of its divisors is an integer number (2101484352).

Almost surely, 2135315677245 is an apocalyptic number.

It is an amenable number.

135315677245 is a deficient number, since it is larger than the sum of its proper divisors (66426820547).

135315677245 is a wasteful number, since it uses less digits than its factorization.

135315677245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1260 counting only the distinct ones).

The product of its digits is 2646000, while the sum is 49.

The spelling of 135315677245 in words is "one hundred thirty-five billion, three hundred fifteen million, six hundred seventy-seven thousand, two hundred forty-five".

Divisors: 1 5 7 23 35 43 59 115 161 215 295 301 413 805 989 1123 1357 1505 2065 2537 3481 4945 5615 6785 6923 7861 9499 12685 17405 17759 24367 25829 34615 39305 47495 48289 58351 66257 80063 88795 121835 129145 149683 180803 241445 291755 331285 338023 400315 408457 463799 560441 748415 904015 1047781 1110647 1523911 1690115 2042285 2318995 2802205 2849051 3442709 3909163 5238905 5553235 7619555 7774529 10667377 14245255 17213545 19545815 19943357 24098963 27364141 38872645 53336885 65528173 89910749 99716785 120494815 136820705 168094009 327640865 449553745 458697211 629375243 840470045 1176658063 2293486055 3146876215 3866162207 5883290315 19330811035 27063135449 135315677245