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136445568 = 2737232207
BaseRepresentation
bin10000010000111…
…11111010000000
3100111202011010120
420020133322000
5234412224233
621312300240
73244524330
oct1010377200
9314664116
10136445568
1170024636
1239841680
132236452c
141419b0c0
15bea34b3
hex821fe80

136445568 has 128 divisors (see below), whose sum is σ = 432414720. Its totient is φ = 37272576.

The previous prime is 136445557. The next prime is 136445627. The reversal of 136445568 is 865544631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 60721 + ... + 62927.

It is an arithmetic number, because the mean of its divisors is an integer number (3378240).

Almost surely, 2136445568 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 136445568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216207360).

136445568 is an abundant number, since it is smaller than the sum of its proper divisors (295969152).

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

136445568 is a wasteful number, since it uses less digits than its factorization.

136445568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2242 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 136445568 is about 11680.9917387181. The cubic root of 136445568 is about 514.8173141585.

The spelling of 136445568 in words is "one hundred thirty-six million, four hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 368 384 448 483 552 644 672 736 896 966 1104 1288 1344 1472 1932 2207 2208 2576 2688 2944 3864 4414 4416 5152 6621 7728 8828 8832 10304 13242 15449 15456 17656 20608 26484 30898 30912 35312 46347 50761 52968 61796 61824 70624 92694 101522 105936 123592 141248 152283 185388 203044 211872 247184 282496 304566 355327 370776 406088 423744 494368 609132 710654 741552 812176 847488 988736 1065981 1218264 1421308 1483104 1624352 1977472 2131962 2436528 2842616 2966208 3248704 4263924 4873056 5685232 5932416 6497408 8527848 9746112 11370464 17055696 19492224 22740928 34111392 45481856 68222784 136445568