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135341128 = 23138315679
BaseRepresentation
bin10000001000100…
…10010001001000
3100102200001010101
420010102101020
5234121404003
621232455144
73232244356
oct1004222110
9312601111
10135341128
116a43a87a
12393aa4b4
1322068910
1413d907d6
15bd3611d
hex8112448

135341128 has 32 divisors (see below), whose sum is σ = 276595200. Its totient is φ = 61708608.

The previous prime is 135341119. The next prime is 135341137. The reversal of 135341128 is 821143531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135341119) and next prime (135341137).

It is a junction number, because it is equal to n+sod(n) for n = 135341096 and 135341105.

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 7 ways as a sum of consecutive naturals, for example, 793 + ... + 16471.

It is an arithmetic number, because the mean of its divisors is an integer number (8643600).

Almost surely, 2135341128 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 135341128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138297600).

135341128 is an abundant number, since it is smaller than the sum of its proper divisors (141254072).

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

135341128 is a wasteful number, since it uses less digits than its factorization.

135341128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15781 (or 15777 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 135341128 is about 11633.6205886216. The cubic root of 135341128 is about 513.4245099566.

Adding to 135341128 its reverse (821143531), we get a palindrome (956484659).

The spelling of 135341128 in words is "one hundred thirty-five million, three hundred forty-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 83 104 166 332 664 1079 2158 4316 8632 15679 31358 62716 125432 203827 407654 815308 1301357 1630616 2602714 5205428 10410856 16917641 33835282 67670564 135341128