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134758272 = 2731161523
BaseRepresentation
bin10000000100000…
…11111110000000
3100101120102121010
420002003332000
5233444231042
621212200520
73224266155
oct1002037600
9311512533
10134758272
116a081980
1239169140
1321bc352c
1413c7c22c
15bc6d59c
hex8083f80

134758272 has 128 divisors (see below), whose sum is σ = 397653120. Its totient is φ = 40089600.

The previous prime is 134758243. The next prime is 134758291. The reversal of 134758272 is 272857431.

134758272 = T408 + T409 + ... + T956.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134758272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257403 + ... + 257925.

It is an arithmetic number, because the mean of its divisors is an integer number (3106665).

Almost surely, 2134758272 is an apocalyptic number.

134758272 is a gapful number since it is divisible by the number (12) 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 134758272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198826560).

134758272 is an abundant number, since it is smaller than the sum of its proper divisors (262894848).

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

134758272 is a wasteful number, since it uses less digits than its factorization.

134758272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 600 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 134758272 is about 11608.5430610391. The cubic root of 134758272 is about 512.6864165789.

The spelling of 134758272 in words is "one hundred thirty-four million, seven hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 128 132 176 183 192 244 264 352 366 384 488 523 528 671 704 732 976 1046 1056 1342 1408 1464 1569 1952 2013 2092 2112 2684 2928 3138 3904 4026 4184 4224 5368 5753 5856 6276 7808 8052 8368 10736 11506 11712 12552 16104 16736 17259 21472 23012 23424 25104 31903 32208 33472 34518 42944 46024 50208 63806 64416 66944 69036 85888 92048 95709 100416 127612 128832 138072 184096 191418 200832 255224 257664 276144 350933 368192 382836 510448 552288 701866 736384 765672 1020896 1052799 1104576 1403732 1531344 2041792 2105598 2209152 2807464 3062688 4083584 4211196 5614928 6125376 8422392 11229856 12250752 16844784 22459712 33689568 44919424 67379136 134758272