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136541496 = 233713101619
BaseRepresentation
bin10000010001101…
…11010100111000
3100111221000201110
420020313110320
5234423311441
621314320320
73245404110
oct1010672470
9314830643
10136541496
117008a713
12398890a0
13223990b0
14141c4040
15bec1b16
hex8237538

136541496 has 128 divisors (see below), whose sum is σ = 424972800. Its totient is φ = 35596800.

The previous prime is 136541491. The next prime is 136541497. The reversal of 136541496 is 694145631.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136541491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220275 + ... + 220893.

It is an arithmetic number, because the mean of its divisors is an integer number (3320100).

Almost surely, 2136541496 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 136541496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

136541496 is an abundant number, since it is smaller than the sum of its proper divisors (288431304).

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

136541496 is a wasteful number, since it uses less digits than its factorization.

136541496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 745 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 136541496 is about 11685.0971754624. The cubic root of 136541496 is about 514.9379332623.

The spelling of 136541496 in words is "one hundred thirty-six million, five hundred forty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 101 104 156 168 182 202 273 303 312 364 404 546 606 619 707 728 808 1092 1212 1238 1313 1414 1857 2121 2184 2424 2476 2626 2828 3714 3939 4242 4333 4952 5252 5656 7428 7878 8047 8484 8666 9191 10504 12999 14856 15756 16094 16968 17332 18382 24141 25998 27573 31512 32188 34664 36764 48282 51996 55146 56329 62519 64376 73528 96564 103992 110292 112658 125038 168987 187557 193128 220584 225316 250076 337974 375114 437633 450632 500152 675948 750228 812747 875266 1312899 1351896 1500456 1625494 1750532 2438241 2625798 3250988 3501064 4876482 5251596 5689229 6501976 9752964 10503192 11378458 17067687 19505928 22756916 34135374 45513832 68270748 136541496