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136202331136 = 2101926072
BaseRepresentation
bin111111011011001001…
…0101010010000000000
3111000120011201022102211
41332312102222100000
54212420244044021
6142323120351504
712561135466264
oct1766622522000
9430504638384
10136202331136
1152843735333
1222491a75594
13cac7b62961
1468411060a4
1538226163e1
hex1fb64aa400

136202331136 has 99 divisors (see below), whose sum is σ = 287830137699. Its totient is φ = 64410605568.

The previous prime is 136202331121. The next prime is 136202331137. The reversal of 136202331136 is 631133202631.

The square root of 136202331136 is 369056.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 136202331098 and 136202331107.

It is not an unprimeable number, because it can be changed into a prime (136202331137) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 224385745 + ... + 224386351.

Almost surely, 2136202331136 is an apocalyptic number.

136202331136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

136202331136 is the 369056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136202331136

136202331136 is an abundant number, since it is smaller than the sum of its proper divisors (151627806563).

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

136202331136 is an frugal number, since it uses more digits than its factorization.

136202331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

Adding to 136202331136 its reverse (631133202631), we get a palindrome (767335533767).

The spelling of 136202331136 in words is "one hundred thirty-six billion, two hundred two million, three hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 607 608 722 1024 1214 1216 1444 2428 2432 2888 4856 4864 5776 9712 9728 11533 11552 19424 19456 23066 23104 38848 46132 46208 77696 92264 92416 155392 184528 184832 219127 310784 368449 369056 369664 438254 621568 736898 738112 876508 1473796 1476224 1753016 2947592 2952448 3506032 5895184 5904896 7000531 7012064 11790368 11809792 14001062 14024128 23580736 28002124 28048256 47161472 56004248 56096512 94322944 112008496 112193024 133010089 188645888 224016992 224386048 266020178 377291776 448033984 532040356 896067968 1064080712 1792135936 2128161424 3584271872 4256322848 7168543744 8512645696 17025291392 34050582784 68101165568 136202331136