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135337752 = 233211170881
BaseRepresentation
bin10000001000100…
…01011100011000
3100102122212111100
420010101130120
5234121302002
621232431400
73232231464
oct1004213430
9312585440
10135337752
116a438290
12393a8560
1322067214
1413d8d4a4
15bd3511c
hex8111718

135337752 has 48 divisors (see below), whose sum is σ = 399863880. Its totient is φ = 41011200.

The previous prime is 135337747. The next prime is 135337753. The reversal of 135337752 is 257733531.

135337752 is a `hidden beast` number, since 1 + 3 + 533 + 77 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135337753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84649 + ... + 86232.

Almost surely, 2135337752 is an apocalyptic number.

135337752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135337752 is an abundant number, since it is smaller than the sum of its proper divisors (264526128).

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

135337752 is a wasteful number, since it uses less digits than its factorization.

135337752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170904 (or 170897 counting only the distinct ones).

The product of its digits is 66150, while the sum is 36.

The square root of 135337752 is about 11633.4754910130. The cubic root of 135337752 is about 513.4202409031.

The spelling of 135337752 in words is "one hundred thirty-five million, three hundred thirty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 170881 341762 512643 683524 1025286 1367048 1537929 1879691 2050572 3075858 3759382 4101144 5639073 6151716 7518764 11278146 12303432 15037528 16917219 22556292 33834438 45112584 67668876 135337752