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135033612 = 2237353619
BaseRepresentation
bin10000000110001…
…11001100001100
3100102002102021220
420003013030030
5234032033422
621222123340
73226524000
oct1003071414
9312072256
10135033612
116a24a82a
1239280550
1321c8b95c
1413d10700
15bcc4e5c
hex80c730c

135033612 has 96 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 37791936.

The previous prime is 135033611. The next prime is 135033617. The reversal of 135033612 is 216330531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (135033611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217839 + ... + 218457.

It is an arithmetic number, because the mean of its divisors is an integer number (3906000).

Almost surely, 2135033612 is an apocalyptic number.

135033612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135033612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

135033612 is an abundant number, since it is smaller than the sum of its proper divisors (239942388).

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

135033612 is a wasteful number, since it uses less digits than its factorization.

135033612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 135033612 is about 11620.3963787816. The cubic root of 135033612 is about 513.0353550712.

The spelling of 135033612 in words is "one hundred thirty-five million, thirty-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 343 371 588 619 636 686 742 1029 1113 1238 1372 1484 1857 2058 2226 2476 2597 3714 4116 4333 4452 5194 7428 7791 8666 10388 12999 15582 17332 18179 25998 30331 31164 32807 36358 51996 54537 60662 65614 72716 90993 98421 109074 121324 131228 181986 196842 212317 218148 229649 363972 393684 424634 459298 636951 688947 849268 918596 1273902 1377894 1607543 2547804 2755788 3215086 4822629 6430172 9645258 11252801 19290516 22505602 33758403 45011204 67516806 135033612