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135183136 = 2511234913
BaseRepresentation
bin10000000111010…
…11101100100000
3100102101000101211
420003223230200
5234101330021
621225235504
73231015634
oct1003535440
9312330354
10135183136
116a342100
1239332b94
1322011a2a
1413d4cdc4
15bd043e1
hex80ebb20

135183136 has 36 divisors (see below), whose sum is σ = 292544406. Its totient is φ = 61445120.

The previous prime is 135183131. The next prime is 135183151. The reversal of 135183136 is 631381531.

It can be written as a sum of positive squares in only one way, i.e., 116208400 + 18974736 = 10780^2 + 4356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135183098 and 135183107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135183131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13585 + ... + 21328.

Almost surely, 2135183136 is an apocalyptic number.

135183136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135183136 is an abundant number, since it is smaller than the sum of its proper divisors (157361270).

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

135183136 is a wasteful number, since it uses less digits than its factorization.

135183136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34945 (or 34926 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 135183136 is about 11626.8282863385. The cubic root of 135183136 is about 513.2246481922.

The spelling of 135183136 in words is "one hundred thirty-five million, one hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 34913 69826 139652 279304 384043 558608 768086 1117216 1536172 3072344 4224473 6144688 8448946 12289376 16897892 33795784 67591568 135183136