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136344131685 = 3459724114401
BaseRepresentation
bin111111011111010111…
…1100101100001100101
3111000221001112112020000
41332332233211201211
54213213044203220
6142345143531513
712564506666046
oct1767657454145
9430831475200
10136344131685
1152906787173
1222511459b99
13cb1b3506c8
146855c988cd
15382ecc6390
hex1fbebe5865

136344131685 has 80 divisors (see below), whose sum is σ = 247970986032. Its totient is φ = 71663616000.

The previous prime is 136344131681. The next prime is 136344131699. The reversal of 136344131685 is 586131443631.

136344131685 is a `hidden beast` number, since 1 + 3 + 634 + 4 + 1 + 3 + 1 + 6 + 8 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22668614721 + 113675516964 = 150561^2 + 337158^2 .

It is not a de Polignac number, because 136344131685 - 22 = 136344131681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 136344131685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136344131681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9460485 + ... + 9474885.

Almost surely, 2136344131685 is an apocalyptic number.

136344131685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136344131685 is a deficient number, since it is larger than the sum of its proper divisors (111626854347).

136344131685 is a wasteful number, since it uses less digits than its factorization.

136344131685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14756 (or 14747 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 136344131685 in words is "one hundred thirty-six billion, three hundred forty-four million, one hundred thirty-one thousand, six hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 97 135 241 291 405 485 723 873 1205 1455 2169 2619 3615 4365 6507 7857 10845 13095 14401 19521 23377 32535 39285 43203 70131 72005 97605 116885 129609 210393 216015 350655 388827 631179 648045 1051965 1166481 1396897 1893537 1944135 3155895 3470641 4190691 5832405 6984485 9467685 10411923 12572073 17353205 20953455 31235769 37716219 52059615 62860365 93707307 113148657 156178845 188581095 281121921 336652177 468536535 565743285 1009956531 1405609605 1683260885 3029869593 5049782655 9089608779 15149347965 27268826337 45448043895 136344131685