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135340216 = 231129181293
BaseRepresentation
bin10000001000100…
…10000010111000
3100102122222212121
420010102002320
5234121341331
621232451024
73232241614
oct1004220270
9312588777
10135340216
116a43a120
12393a9a74
132206838b
1413d90344
15bd35c11
hex81120b8

135340216 has 64 divisors (see below), whose sum is σ = 288943200. Its totient is φ = 58867200.

The previous prime is 135340207. The next prime is 135340229. The reversal of 135340216 is 612043531.

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, 461766 + ... + 462058.

Almost surely, 2135340216 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 135340216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144471600).

135340216 is an abundant number, since it is smaller than the sum of its proper divisors (153602984).

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

135340216 is a wasteful number, since it uses less digits than its factorization.

135340216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 135340216 is about 11633.5813918157. The cubic root of 135340216 is about 513.4233567122.

Adding to 135340216 its reverse (612043531), we get a palindrome (747383747).

The spelling of 135340216 in words is "one hundred thirty-five million, three hundred forty thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 181 232 293 319 362 586 638 724 1172 1276 1448 1991 2344 2552 3223 3982 5249 6446 7964 8497 10498 12892 15928 16994 20996 25784 33988 41992 53033 57739 67976 93467 106066 115478 186934 212132 230956 373868 424264 461912 583363 747736 1166726 1537957 2333452 3075914 4666904 6151828 12303656 16917527 33835054 67670108 135340216