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135651328 = 21329571
BaseRepresentation
bin10000001010111…
…10000000000000
3100110020210122021
420011132000000
5234211320303
621243251224
73235005631
oct1005360000
9313223567
10135651328
116a63193a
1239519b14
1322146b77
1414031888
15bd97ebd
hex815e000

135651328 has 56 divisors (see below), whose sum is σ = 281132280. Its totient is φ = 65372160.

The previous prime is 135651311. The next prime is 135651331. The reversal of 135651328 is 823156531.

It is a junction number, because it is equal to n+sod(n) for n = 135651293 and 135651302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237283 + ... + 237853.

Almost surely, 2135651328 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 135651328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140566140).

135651328 is an abundant number, since it is smaller than the sum of its proper divisors (145480952).

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

135651328 is an frugal number, since it uses more digits than its factorization.

135651328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 602 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 135651328 is about 11646.9450071682. The cubic root of 135651328 is about 513.8164646242.

The spelling of 135651328 in words is "one hundred thirty-five million, six hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 571 928 1024 1142 1856 2048 2284 3712 4096 4568 7424 8192 9136 14848 16559 18272 29696 33118 36544 59392 66236 73088 118784 132472 146176 237568 264944 292352 529888 584704 1059776 1169408 2119552 2338816 4239104 4677632 8478208 16956416 33912832 67825664 135651328