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136225080 = 233251722259
BaseRepresentation
bin10000001111010…
…10000100111000
3100111022221200100
420013222010320
5234333200310
621303435400
73242615445
oct1007520470
9314287610
10136225080
116a993a12
1239755b60
13222b8074
14141409cc
15be5cec0
hex81ea138

136225080 has 96 divisors (see below), whose sum is σ = 468795600. Its totient is φ = 34188288.

The previous prime is 136225049. The next prime is 136225087. The reversal of 136225080 is 80522631.

136225080 is a `hidden beast` number, since 136 + 22 + 508 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136225087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5010 + ... + 17249.

Almost surely, 2136225080 is an apocalyptic number.

136225080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136225080 is an abundant number, since it is smaller than the sum of its proper divisors (332570520).

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

136225080 is a wasteful number, since it uses less digits than its factorization.

136225080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22293 (or 22286 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 136225080 is about 11671.5500255964. The cubic root of 136225080 is about 514.5398598375.

The spelling of 136225080 in words is "one hundred thirty-six million, two hundred twenty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 22259 44518 66777 89036 111295 133554 178072 200331 222590 267108 333885 378403 400662 445180 534216 667770 756806 801324 890360 1001655 1135209 1335540 1513612 1602648 1892015 2003310 2270418 2671080 3027224 3405627 3784030 4006620 4540836 5676045 6811254 7568060 8013240 9081672 11352090 13622508 15136120 17028135 22704180 27245016 34056270 45408360 68112540 136225080