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136505426000 = 2453193353641
BaseRepresentation
bin111111100100001011…
…0111000000001010000
3111001100022001010102112
41333020112320001100
54214030342113000
6142413145004452
712601505655626
oct1771026700120
9431308033375
10136505426000
1152989832a59
1222557483728
13cb458a5328
14686d483516
15383e037235
hex1fc85b8050

136505426000 has 80 divisors (see below), whose sum is σ = 331781266128. Its totient is φ = 54319104000.

The previous prime is 136505425999. The next prime is 136505426023. The reversal of 136505426000 is 624505631.

It can be written as a sum of positive squares in 8 ways, for example, as 111911659024 + 24593766976 = 334532^2 + 156824^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209180 + ... + 562820.

Almost surely, 2136505426000 is an apocalyptic number.

136505426000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136505426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165890633064).

136505426000 is an abundant number, since it is smaller than the sum of its proper divisors (195275840128).

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

136505426000 is a wasteful number, since it uses less digits than its factorization.

136505426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353857 (or 353841 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 136505426000 in words is "one hundred thirty-six billion, five hundred five million, four hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 193 200 250 386 400 500 772 965 1000 1544 1930 2000 3088 3860 4825 7720 9650 15440 19300 24125 38600 48250 77200 96500 193000 353641 386000 707282 1414564 1768205 2829128 3536410 5658256 7072820 8841025 14145640 17682050 28291280 35364100 44205125 68252713 70728200 88410250 136505426 141456400 176820500 273010852 341263565 353641000 546021704 682527130 707282000 1092043408 1365054260 1706317825 2730108520 3412635650 5460217040 6825271300 8531589125 13650542600 17063178250 27301085200 34126356500 68252713000 136505426000