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136053011325 = 35271137336311
BaseRepresentation
bin111111010110101100…
…1000011001101111101
3111000011202202002011110
41332231121003031331
54212114032330300
6142300224112233
712554343341460
oct1765531031575
9430152662143
10136053011325
1152777418130
122244ba65679
13caa2c4153a
1468293572d7
15381446d550
hex1fad64337d

136053011325 has 96 divisors (see below), whose sum is σ = 280565471232. Its totient is φ = 56517408000.

The previous prime is 136053011309. The next prime is 136053011329. The reversal of 136053011325 is 523110350631.

It is not a de Polignac number, because 136053011325 - 24 = 136053011309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 136053011292 and 136053011301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136053011329) 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 95 ways as a sum of consecutive naturals, for example, 21554920 + ... + 21561230.

It is an arithmetic number, because the mean of its divisors is an integer number (2922556992).

Almost surely, 2136053011325 is an apocalyptic number.

136053011325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136053011325 is an abundant number, since it is smaller than the sum of its proper divisors (144512459907).

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

136053011325 is a wasteful number, since it uses less digits than its factorization.

136053011325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10075 (or 10070 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 136053011325 its reverse (523110350631), we get a palindrome (659163361956).

The spelling of 136053011325 in words is "one hundred thirty-six billion, fifty-three million, eleven thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 3733 5775 6311 11199 18665 18933 26131 31555 41063 44177 55995 69421 78393 93325 94665 123189 130655 132531 157775 205315 208263 220885 279975 287441 347105 391965 473325 485947 615945 653275 662655 862323 1026575 1041315 1104425 1437205 1457841 1735525 1959825 2429735 3079725 3313275 4311615 5206575 7186025 7289205 12148675 21558075 23558963 36446025 70676889 117794815 164912741 259148593 353384445 494738223 588974075 777445779 824563705 1295742965 1766922225 1814040151 2473691115 3887228895 4122818525 5442120453 6478714825 9070200755 12368455575 19436144475 27210602265 45351003775 136053011325