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135787752 = 2334209549
BaseRepresentation
bin10000001011111…
…11010011101000
3100110111201210000
420011333103220
5234230202002
621250223000
73236114442
oct1005772350
9313451700
10135787752
116a715391
1239584a60
1322193ca9
1414069492
15bdc361c
hex817f4e8

135787752 has 40 divisors (see below), whose sum is σ = 380333250. Its totient is φ = 45262368.

The previous prime is 135787739. The next prime is 135787753. The reversal of 135787752 is 257787531.

135787752 is a `hidden beast` number, since 1 + 3 + 578 + 7 + 75 + 2 = 666.

135787752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 111640356 + 24147396 = 10566^2 + 4914^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135787698 and 135787707.

It is not an unprimeable number, because it can be changed into a prime (135787753) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 104127 + ... + 105422.

Almost surely, 2135787752 is an apocalyptic number.

135787752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135787752 is an abundant number, since it is smaller than the sum of its proper divisors (244545498).

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

135787752 is a wasteful number, since it uses less digits than its factorization.

135787752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209567 (or 209554 counting only the distinct ones).

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

The square root of 135787752 is about 11652.8001784979. The cubic root of 135787752 is about 513.9886546371.

The spelling of 135787752 in words is "one hundred thirty-five million, seven hundred eighty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 209549 419098 628647 838196 1257294 1676392 1885941 2514588 3771882 5029176 5657823 7543764 11315646 15087528 16973469 22631292 33946938 45262584 67893876 135787752