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136343136 = 25353127211
BaseRepresentation
bin10000010000001…
…10111001100000
3100111112221121210
420020012321200
5234400440021
621310150120
73243616566
oct1010067140
9314487553
10136343136
116aa64686
12397b2340
1322329a17
1414171a36
15be82e76
hex8206e60

136343136 has 96 divisors (see below), whose sum is σ = 369266688. Its totient is φ = 44029440.

The previous prime is 136343117. The next prime is 136343161. The reversal of 136343136 is 631343631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 646071 + ... + 646281.

It is an arithmetic number, because the mean of its divisors is an integer number (3846528).

Almost surely, 2136343136 is an apocalyptic number.

136343136 is a gapful number since it is divisible by the number (16) 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 136343136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184633344).

136343136 is an abundant number, since it is smaller than the sum of its proper divisors (232923552).

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

136343136 is a wasteful number, since it uses less digits than its factorization.

136343136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 136343136 is about 11676.6063563006. The cubic root of 136343136 is about 514.6884545470.

Adding to 136343136 its reverse (631343631), we get a palindrome (767686767).

The spelling of 136343136 in words is "one hundred thirty-six million, three hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 127 159 211 212 254 318 381 422 424 508 633 636 762 844 848 1016 1266 1272 1524 1688 1696 2032 2532 2544 3048 3376 4064 5064 5088 6096 6731 6752 10128 11183 12192 13462 20193 20256 22366 26797 26924 33549 40386 44732 53594 53848 67098 80391 80772 89464 107188 107696 134196 160782 161544 178928 214376 215392 268392 321564 323088 357856 428752 536784 643128 646176 857504 1073568 1286256 1420241 2572512 2840482 4260723 5680964 8521446 11361928 17042892 22723856 34085784 45447712 68171568 136343136