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135052688 = 2423418951
BaseRepresentation
bin10000000110010…
…11110110010000
3100102010101110102
420003023312100
5234033141223
621222351532
73226633421
oct1003136620
9312111412
10135052688
116a2630a1
123928b5a8
1321c97544
1413d17648
15bcca928
hex80cbd90

135052688 has 40 divisors (see below), whose sum is σ = 279732096. Its totient is φ = 63008000.

The previous prime is 135052669. The next prime is 135052717. The reversal of 135052688 is 886250531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10613 + ... + 19563.

Almost surely, 2135052688 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 135052688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139866048).

135052688 is an abundant number, since it is smaller than the sum of its proper divisors (144679408).

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

135052688 is a wasteful number, since it uses less digits than its factorization.

135052688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9023 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 135052688 is about 11621.2171479583. The cubic root of 135052688 is about 513.0595125174.

The spelling of 135052688 in words is "one hundred thirty-five million, fifty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 328 368 656 943 1886 3772 7544 8951 15088 17902 35804 71608 143216 205873 366991 411746 733982 823492 1467964 1646984 2935928 3293968 5871856 8440793 16881586 33763172 67526344 135052688