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135170336 = 2574911229
BaseRepresentation
bin10000000111010…
…00100100100000
3100102100100211202
420003220210200
5234100422321
621225100332
73230633420
oct1003504440
9312310752
10135170336
116a333524
12393276a8
1322008c62
1413d48480
15bd0070b
hex80e8920

135170336 has 48 divisors (see below), whose sum is σ = 305000640. Its totient is φ = 57765120.

The previous prime is 135170311. The next prime is 135170353. The reversal of 135170336 is 633071531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135170299 and 135170308.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109370 + ... + 110598.

It is an arithmetic number, because the mean of its divisors is an integer number (6354180).

Almost surely, 2135170336 is an apocalyptic number.

135170336 is a gapful number since it is divisible by the number (16) 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 135170336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152500320).

135170336 is an abundant number, since it is smaller than the sum of its proper divisors (169830304).

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

135170336 is a wasteful number, since it uses less digits than its factorization.

135170336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 135170336 is about 11626.2778222439. The cubic root of 135170336 is about 513.2084492218.

The spelling of 135170336 in words is "one hundred thirty-five million, one hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 491 982 1229 1964 2458 3437 3928 4916 6874 7856 8603 9832 13748 15712 17206 19664 27496 34412 39328 54992 68824 109984 137648 275296 603439 1206878 2413756 4224073 4827512 8448146 9655024 16896292 19310048 33792584 67585168 135170336