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135777852 = 22327538801
BaseRepresentation
bin10000001011111…
…00111000111100
3100110111020012100
420011330320330
5234224342402
621250105100
73236043540
oct1005747074
9313436170
10135777852
116a708a01
123957b190
132218c632
1414065a20
15bdc071c
hex817ce3c

135777852 has 36 divisors (see below), whose sum is σ = 392247856. Its totient is φ = 38793600.

The previous prime is 135777779. The next prime is 135777881. The reversal of 135777852 is 258777531.

135777852 is a `hidden beast` number, since 1 + 3 + 577 + 78 + 5 + 2 = 666.

135777852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 135777798 and 135777807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269149 + ... + 269652.

Almost surely, 2135777852 is an apocalyptic number.

135777852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135777852 is an abundant number, since it is smaller than the sum of its proper divisors (256470004).

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

135777852 is a wasteful number, since it uses less digits than its factorization.

135777852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538818 (or 538813 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

The square root of 135777852 is about 11652.3753801532. The cubic root of 135777852 is about 513.9761630555.

The spelling of 135777852 in words is "one hundred thirty-five million, seven hundred seventy-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 538801 1077602 1616403 2155204 3232806 3771607 4849209 6465612 7543214 9698418 11314821 15086428 19396836 22629642 33944463 45259284 67888926 135777852