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135134032 = 24114161307
BaseRepresentation
bin10000000110111…
…11101101010000
3100102021112001011
420003133231100
5234043242112
621224220304
73230422525
oct1003375520
9312245034
10135134032
116a309220
123930a694
1321cc5587
1413d3914c
15bce4aa7
hex80dfb50

135134032 has 80 divisors (see below), whose sum is σ = 298355904. Its totient is φ = 58752000.

The previous prime is 135133981. The next prime is 135134107. The reversal of 135134032 is 230431531.

It is a super-2 number, since 2×1351340322 = 36522413209154048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 135133994 and 135134012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440023 + ... + 440329.

Almost surely, 2135134032 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 135134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149177952).

135134032 is an abundant number, since it is smaller than the sum of its proper divisors (163221872).

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

135134032 is a wasteful number, since it uses less digits than its factorization.

135134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 135134032 is about 11624.7164266489. The cubic root of 135134032 is about 513.1624993278.

Adding to 135134032 its reverse (230431531), we get a palindrome (365565563).

The spelling of 135134032 in words is "one hundred thirty-five million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 41 44 61 82 88 122 164 176 244 307 328 451 488 614 656 671 902 976 1228 1342 1804 2456 2501 2684 3377 3608 4912 5002 5368 6754 7216 10004 10736 12587 13508 18727 20008 25174 27016 27511 37454 40016 50348 54032 55022 74908 100696 110044 138457 149816 201392 205997 220088 276914 299632 411994 440176 553828 767807 823988 1107656 1535614 1647976 2215312 3071228 3295952 6142456 8445877 12284912 16891754 33783508 67567016 135134032