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136810112 = 2741131199
BaseRepresentation
bin10000010011110…
…00111010000000
3100112102200012012
420021320322000
5240010410422
621324152052
73250603205
oct1011707200
9315380165
10136810112
117025350a
1239998628
132246143a
1414253cac
15c0264e2
hex8278e80

136810112 has 64 divisors (see below), whose sum is σ = 282744000. Its totient is φ = 65894400.

The previous prime is 136810097. The next prime is 136810123. The reversal of 136810112 is 211018631.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687389 + ... + 687587.

It is an arithmetic number, because the mean of its divisors is an integer number (4417875).

Almost surely, 2136810112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136810112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141372000).

136810112 is an abundant number, since it is smaller than the sum of its proper divisors (145933888).

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

136810112 is a wasteful number, since it uses less digits than its factorization.

136810112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 136810112 is about 11696.5854846618. The cubic root of 136810112 is about 515.2753885796.

Adding to 136810112 its reverse (211018631), we get a palindrome (347828743).

The spelling of 136810112 in words is "one hundred thirty-six million, eight hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 131 164 199 262 328 398 524 656 796 1048 1312 1592 2096 2624 3184 4192 5248 5371 6368 8159 8384 10742 12736 16318 16768 21484 25472 26069 32636 42968 52138 65272 85936 104276 130544 171872 208552 261088 343744 417104 522176 687488 834208 1044352 1068829 1668416 2137658 3336832 4275316 8550632 17101264 34202528 68405056 136810112