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134960256 = 27354339
BaseRepresentation
bin10000000101101…
…01010010000000
3100101221200200000
420002311102000
5234022212011
621220400000
73226100064
oct1002652200
9311850600
10134960256
116a1aa702
1239246000
1321c64452
1413cd1aa4
15bcad356
hex80b5480

134960256 has 96 divisors (see below), whose sum is σ = 402838800. Its totient is φ = 44976384.

The previous prime is 134960219. The next prime is 134960281. The reversal of 134960256 is 652069431.

It is a happy number.

134960256 is a `hidden beast` number, since 1 + 3 + 49 + 602 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 134960256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28935 + ... + 33273.

Almost surely, 2134960256 is an apocalyptic number.

134960256 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 134960256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201419400).

134960256 is an abundant number, since it is smaller than the sum of its proper divisors (267878544).

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

134960256 is an frugal number, since it uses more digits than its factorization.

134960256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 134960256 is about 11617.2396032793. The cubic root of 134960256 is about 512.9424373701.

The spelling of 134960256 in words is "one hundred thirty-four million, nine hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 4339 5184 7776 8678 10368 13017 15552 17356 26034 31104 34712 39051 52068 69424 78102 104136 117153 138848 156204 208272 234306 277696 312408 351459 416544 468612 555392 624816 702918 833088 937224 1054377 1249632 1405836 1666176 1874448 2108754 2499264 2811672 3748896 4217508 4998528 5623344 7497792 8435016 11246688 14995584 16870032 22493376 33740064 44986752 67480128 134960256