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135302132 = 227241113149
BaseRepresentation
bin10000001000010…
…00101111110100
3100102121001122002
420010020233310
5234114132012
621231554432
73232022600
oct1004105764
9312531562
10135302132
116a413549
123938ba18
1322053c44
1413d80500
15bd297c2
hex8108bf4

135302132 has 72 divisors (see below), whose sum is σ = 286561800. Its totient is φ = 55695360.

The previous prime is 135302119. The next prime is 135302147. The reversal of 135302132 is 231203531.

It can be written as a sum of positive squares in 4 ways, for example, as 23872996 + 111429136 = 4886^2 + 10556^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 907994 + ... + 908142.

It is an arithmetic number, because the mean of its divisors is an integer number (3980025).

Almost surely, 2135302132 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 135302132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143280900).

135302132 is an abundant number, since it is smaller than the sum of its proper divisors (151259668).

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

135302132 is a wasteful number, since it uses less digits than its factorization.

135302132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 135302132 is about 11631.9444634163. The cubic root of 135302132 is about 513.3751940151.

Adding to 135302132 its reverse (231203531), we get a palindrome (366505663).

The spelling of 135302132 in words is "one hundred thirty-five million, three hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 49 82 98 113 149 164 196 226 287 298 452 574 596 791 1043 1148 1582 2009 2086 3164 4018 4172 4633 5537 6109 7301 8036 9266 11074 12218 14602 16837 18532 22148 24436 29204 32431 33674 42763 64862 67348 85526 117859 129724 171052 227017 235718 299341 454034 471436 598682 690317 825013 908068 1197364 1380634 1650026 2761268 3300052 4832219 9664438 19328876 33825533 67651066 135302132