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136180926729 = 3413123132
BaseRepresentation
bin111111011010100000…
…1000000100100001001
3111000111200102212010000
41332311001000210021
54212344304123404
6142321033513213
712560455530621
oct1766501004411
9430450385100
10136180926729
1152832645941
1222486872809
13cac35aa223
14683c333881
1538207d9339
hex1fb5040909

136180926729 has 45 divisors (see below), whose sum is σ = 205652558199. Its totient is φ = 89806410720.

The previous prime is 136180926703. The next prime is 136180926737. The reversal of 136180926729 is 927629081631.

The square root of 136180926729 is 369027.

It is a perfect power (a square), and thus also a powerful number.

136180926729 is a `hidden beast` number, since 13 + 618 + 0 + 9 + 2 + 6 + 7 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 868775625 + 135312151104 = 29475^2 + 367848^2 .

It is not a de Polignac number, because 136180926729 - 27 = 136180926601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (136180926799) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 435082677 + ... + 435082989.

Almost surely, 2136180926729 is an apocalyptic number.

136180926729 is the 369027-th square number.

136180926729 is the 184514-th centered octagonal number.

It is an amenable number.

136180926729 is a deficient number, since it is larger than the sum of its proper divisors (69471631470).

136180926729 is an frugal number, since it uses more digits than its factorization.

136180926729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 136180926729 in words is "one hundred thirty-six billion, one hundred eighty million, nine hundred twenty-six thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 81 131 313 393 939 1179 2817 3537 8451 10611 17161 25353 41003 51483 97969 123009 154449 293907 369027 463347 881721 1107081 1390041 2645163 3321243 5371393 7935489 12833939 16114179 38501817 48342537 115505451 145027611 346516353 435082833 1039549059 1681246009 5043738027 15131214081 45393642243 136180926729