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135337328 = 2477316553
BaseRepresentation
bin10000001000100…
…01010101110000
3100102122211220122
420010101111300
5234121243303
621232425412
73232230320
oct1004212560
9312584818
10135337328
116a437a35
12393a8268
1322066c79
1413d8d280
15bd34e38
hex8111570

135337328 has 40 divisors (see below), whose sum is σ = 303799008. Its totient is φ = 57203712.

The previous prime is 135337309. The next prime is 135337337. The reversal of 135337328 is 823733531.

It is a congruent number.

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, 101 + ... + 16452.

Almost surely, 2135337328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135337328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151899504).

135337328 is an abundant number, since it is smaller than the sum of its proper divisors (168461680).

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

135337328 is a wasteful number, since it uses less digits than its factorization.

135337328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16641 (or 16635 counting only the distinct ones).

The product of its digits is 45360, while the sum is 35.

The square root of 135337328 is about 11633.4572677257. The cubic root of 135337328 is about 513.4197047373.

The spelling of 135337328 in words is "one hundred thirty-five million, three hundred thirty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1168 2044 4088 8176 16553 33106 66212 115871 132424 231742 264848 463484 926968 1208369 1853936 2416738 4833476 8458583 9666952 16917166 19333904 33834332 67668664 135337328