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135079056 = 24337192351
BaseRepresentation
bin10000000110100…
…10010010010000
3100102011201122000
420003102102100
5234040012211
621223114000
73230103330
oct1003222220
9312151560
10135079056
116a280992
12392a2900
1321ca6548
1413d230c0
15bcd3656
hex80d2490

135079056 has 160 divisors (see below), whose sum is σ = 466636800. Its totient is φ = 36547200.

The previous prime is 135079031. The next prime is 135079067. The reversal of 135079056 is 650970531.

It is a happy number.

135079056 is a `hidden beast` number, since 13 + 507 + 90 + 56 = 666.

It is a super-2 number, since 2×1350790562 = 36492702739702272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135079056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56281 + ... + 58631.

It is an arithmetic number, because the mean of its divisors is an integer number (2916480).

Almost surely, 2135079056 is an apocalyptic number.

135079056 is a gapful number since it is divisible by the number (16) 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 135079056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233318400).

135079056 is an abundant number, since it is smaller than the sum of its proper divisors (331557744).

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

135079056 is a wasteful number, since it uses less digits than its factorization.

135079056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 135079056 is about 11622.3515692824. The cubic root of 135079056 is about 513.0929006542.

The spelling of 135079056 in words is "one hundred thirty-five million, seventy-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2351 2394 2736 3024 3192 3591 4104 4702 4788 6384 7053 7182 8208 9404 9576 14106 14364 16457 18808 19152 21159 28212 28728 32914 37616 42318 44669 49371 56424 57456 63477 65828 84636 89338 98742 112848 126954 131656 134007 148113 169272 178676 197484 253908 263312 268014 296226 312683 338544 357352 394968 402021 444339 507816 536028 592452 625366 714704 789936 804042 888678 938049 1015632 1072056 1184904 1206063 1250732 1608084 1777356 1876098 2144112 2369808 2412126 2501464 2814147 3216168 3554712 3752196 4824252 5002928 5628294 6432336 7109424 7504392 8442441 9648504 11256588 15008784 16884882 19297008 22513176 33769764 45026352 67539528 135079056