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136499664 = 243717231039
BaseRepresentation
bin10000010001011…
…01000111010000
3100111211220100010
420020231013100
5234420442124
621313354520
73245141130
oct1010550720
9314756303
10136499664
1170061244
1239868a40
1322383042
14141b2ac0
15beb4529
hex822d1d0

136499664 has 160 divisors (see below), whose sum is σ = 445685760. Its totient is φ = 35076096.

The previous prime is 136499611. The next prime is 136499669. The reversal of 136499664 is 466994631.

It is a super-2 number, since 2×1364996642 = 37264316544225792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136499669) 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, 130857 + ... + 131895.

It is an arithmetic number, because the mean of its divisors is an integer number (2785536).

Almost surely, 2136499664 is an apocalyptic number.

136499664 is a gapful number since it is divisible by the number (14) 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 136499664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222842880).

136499664 is an abundant number, since it is smaller than the sum of its proper divisors (309186096).

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

136499664 is a wasteful number, since it uses less digits than its factorization.

136499664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1091 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 136499664 is about 11683.3070660665. The cubic root of 136499664 is about 514.8853409871.

The spelling of 136499664 in words is "one hundred thirty-six million, four hundred ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 23 24 28 34 42 46 48 51 56 68 69 84 92 102 112 119 136 138 161 168 184 204 238 272 276 322 336 357 368 391 408 476 483 552 644 714 782 816 952 966 1039 1104 1173 1288 1428 1564 1904 1932 2078 2346 2576 2737 2856 3117 3128 3864 4156 4692 5474 5712 6234 6256 7273 7728 8211 8312 9384 10948 12468 14546 16422 16624 17663 18768 21819 21896 23897 24936 29092 32844 35326 43638 43792 47794 49872 52989 58184 65688 70652 71691 87276 95588 105978 116368 123641 131376 141304 143382 167279 174552 191176 211956 247282 282608 286764 334558 349104 370923 382352 406249 423912 494564 501837 573528 669116 741846 812498 847824 989128 1003674 1147056 1218747 1338232 1483692 1624996 1978256 2007348 2437494 2676464 2843743 2967384 3249992 4014696 4874988 5687486 5934768 6499984 8029392 8531229 9749976 11374972 17062458 19499952 22749944 34124916 45499888 68249832 136499664