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135206032 = 24131738237
BaseRepresentation
bin10000000111100…
…01010010010000
3100102102011210211
420003301102100
5234103043112
621225533504
73231142453
oct1003612220
9312364724
10135206032
116a358325
1239344294
132201c290
1413d5749a
15bd0b0a7
hex80f1490

135206032 has 40 divisors (see below), whose sum is σ = 298715256. Its totient is φ = 58730496.

The previous prime is 135206011. The next prime is 135206047. The reversal of 135206032 is 230602531.

It can be written as a sum of positive squares in 4 ways, for example, as 15872256 + 119333776 = 3984^2 + 10924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135205994 and 135206012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15583 + ... + 22654.

Almost surely, 2135206032 is an apocalyptic number.

It is an amenable number.

135206032 is an abundant number, since it is smaller than the sum of its proper divisors (163509224).

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

135206032 is a wasteful number, since it uses less digits than its factorization.

135206032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38275 (or 38269 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 135206032 is about 11627.8128639912. The cubic root of 135206032 is about 513.2536215502.

Adding to 135206032 its reverse (230602531), we get a palindrome (365808563).

The spelling of 135206032 in words is "one hundred thirty-five million, two hundred six thousand, thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 38237 76474 152948 305896 497081 611792 650029 994162 1300058 1988324 2600116 3976648 5200232 7953296 8450377 10400464 16900754 33801508 67603016 135206032