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135077565 = 3572374967
BaseRepresentation
bin10000000110100…
…01111010111101
3100102011122120210
420003101322331
5234034440230
621223103033
73230066100
oct1003217275
9312148523
10135077565
116a27a857
12392a1a79
1321ca596c
1413d22737
15bcd2eb0
hex80d1ebd

135077565 has 48 divisors (see below), whose sum is σ = 258256512. Its totient is φ = 60068736.

The previous prime is 135077533. The next prime is 135077587. The reversal of 135077565 is 565770531.

It is a happy number.

135077565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135077565 - 25 = 135077533 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24712 + ... + 29678.

It is an arithmetic number, because the mean of its divisors is an integer number (5380344).

Almost surely, 2135077565 is an apocalyptic number.

135077565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135077565 is a deficient number, since it is larger than the sum of its proper divisors (123178947).

135077565 is a wasteful number, since it uses less digits than its factorization.

135077565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 39.

The square root of 135077565 is about 11622.2874254598. The cubic root of 135077565 is about 513.0910128108.

The spelling of 135077565 in words is "one hundred thirty-five million, seventy-seven thousand, five hundred sixty-five".

Divisors: 1 3 5 7 15 21 35 37 49 105 111 147 185 245 259 555 735 777 1295 1813 3885 4967 5439 9065 14901 24835 27195 34769 74505 104307 173845 183779 243383 521535 551337 730149 918895 1216915 1286453 2756685 3650745 3859359 6432265 9005171 19296795 27015513 45025855 135077565