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134528472 = 233313232083
BaseRepresentation
bin10000000010010…
…11110111011000
3100101010202101000
420001023313120
5233414402342
621203225000
73222321201
oct1001136730
9311122330
10134528472
1169a35261
1239078160
1321b42a60
1413c1c5a8
15bc2544c
hex804bdd8

134528472 has 128 divisors (see below), whose sum is σ = 420134400. Its totient is φ = 39574656.

The previous prime is 134528453. The next prime is 134528473. The reversal of 134528472 is 274825431.

It is a happy number.

134528472 is a `hidden beast` number, since 134 + 52 + 8 + 472 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134528473) 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, 63543 + ... + 65625.

It is an arithmetic number, because the mean of its divisors is an integer number (3282300).

Almost surely, 2134528472 is an apocalyptic number.

134528472 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 134528472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210067200).

134528472 is an abundant number, since it is smaller than the sum of its proper divisors (285605928).

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

134528472 is a wasteful number, since it uses less digits than its factorization.

134528472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2124 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 134528472 is about 11598.6409548705. The cubic root of 134528472 is about 512.3948268815.

The spelling of 134528472 in words is "one hundred thirty-four million, five hundred twenty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 39 46 52 54 69 72 78 92 104 108 117 138 156 184 207 216 234 276 299 312 351 414 468 552 598 621 702 828 897 936 1196 1242 1404 1656 1794 2083 2392 2484 2691 2808 3588 4166 4968 5382 6249 7176 8073 8332 10764 12498 16146 16664 18747 21528 24996 27079 32292 37494 47909 49992 54158 56241 64584 74988 81237 95818 108316 112482 143727 149976 162474 191636 216632 224964 243711 287454 324948 383272 431181 449928 487422 574908 622817 649896 731133 862362 974844 1149816 1245634 1293543 1462266 1724724 1868451 1949688 2491268 2587086 2924532 3449448 3736902 4982536 5174172 5605353 5849064 7473804 10348344 11210706 14947608 16816059 22421412 33632118 44842824 67264236 134528472