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135482208 = 25389101157
BaseRepresentation
bin10000001001101…
…00101101100000
3100102221012122120
420010310231200
5234140412313
621235504240
73233402601
oct1004645540
9312835576
10135482208
116a526874
1239458080
13220b7bb4
1413dc9da8
15bd62d23
hex8134b60

135482208 has 96 divisors (see below), whose sum is σ = 365510880. Its totient is φ = 43929600.

The previous prime is 135482189. The next prime is 135482209. The reversal of 135482208 is 802284531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135482209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862866 + ... + 863022.

It is an arithmetic number, because the mean of its divisors is an integer number (3807405).

Almost surely, 2135482208 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 135482208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182755440).

135482208 is an abundant number, since it is smaller than the sum of its proper divisors (230028672).

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

135482208 is a wasteful number, since it uses less digits than its factorization.

135482208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 135482208 is about 11639.6824698958. The cubic root of 135482208 is about 513.6028464240.

The spelling of 135482208 in words is "one hundred thirty-five million, four hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 101 157 178 202 267 303 314 356 404 471 534 606 628 712 808 942 1068 1212 1256 1424 1616 1884 2136 2424 2512 2848 3232 3768 4272 4848 5024 7536 8544 8989 9696 13973 15072 15857 17978 26967 27946 31714 35956 41919 47571 53934 55892 63428 71912 83838 95142 107868 111784 126856 143824 167676 190284 215736 223568 253712 287648 335352 380568 431472 447136 507424 670704 761136 862944 1341408 1411273 1522272 2822546 4233819 5645092 8467638 11290184 16935276 22580368 33870552 45160736 67741104 135482208