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136738727524 = 22726124332
BaseRepresentation
bin111111101011001000…
…0110110011001100100
3111001221120001001221201
41333112100312121210
54220020103240044
6142452241252244
712610341002200
oct1772620663144
9431846031851
10136738727524
1152a994a0933
1222601634084
13cb8201c279
146892453b00
15385476d7d4
hex1fd6436664

136738727524 has 81 divisors (see below), whose sum is σ = 283654170891. Its totient is φ = 57508496640.

The previous prime is 136738727519. The next prime is 136738727549. The reversal of 136738727524 is 425727837631.

The square root of 136738727524 is 369782.

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

It can be written as a sum of positive squares in 4 ways, for example, as 102649752100 + 34088975424 = 320390^2 + 184632^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 315793612 + ... + 315794044.

Almost surely, 2136738727524 is an apocalyptic number.

136738727524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

136738727524 is the 369782-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136738727524

136738727524 is an abundant number, since it is smaller than the sum of its proper divisors (146915443367).

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

136738727524 is an frugal number, since it uses more digits than its factorization.

136738727524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 503 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 55.

The spelling of 136738727524 in words is "one hundred thirty-six billion, seven hundred thirty-eight million, seven hundred twenty-seven thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 433 854 866 1708 1732 2989 3031 3721 5978 6062 7442 11956 12124 14884 21217 26047 26413 42434 52094 52826 84868 104188 105652 182329 184891 187489 364658 369782 374978 729316 739564 749956 1294237 1312423 1611193 2588474 2624846 3222386 5176948 5249692 6444772 9186961 11278351 11436829 18373922 22556702 22873658 36747844 45113404 45747316 78948457 80057803 157896914 160115606 315793828 320231212 560404621 697646569 1120809242 1395293138 2241618484 2790586276 4883525983 9767051966 19534103932 34184681881 68369363762 136738727524