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135042648 = 233132391811
BaseRepresentation
bin10000000110010…
…01011001011000
3100102002212200120
420003021121120
5234032331043
621222233240
73226562226
oct1003113130
9312085616
10135042648
116a2565a4
1239285820
1321c92ac0
1413d13b16
15bcc7983
hex80c9658

135042648 has 64 divisors (see below), whose sum is σ = 365299200. Its totient is φ = 41354880.

The previous prime is 135042641. The next prime is 135042659. The reversal of 135042648 is 846240531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135042641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73663 + ... + 75473.

It is an arithmetic number, because the mean of its divisors is an integer number (5707800).

Almost surely, 2135042648 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 135042648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182649600).

135042648 is an abundant number, since it is smaller than the sum of its proper divisors (230256552).

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

135042648 is a wasteful number, since it uses less digits than its factorization.

135042648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 135042648 is about 11620.7851714073. The cubic root of 135042648 is about 513.0467983556.

The spelling of 135042648 in words is "one hundred thirty-five million, forty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 239 312 478 717 956 1434 1811 1912 2868 3107 3622 5433 5736 6214 7244 9321 10866 12428 14488 18642 21732 23543 24856 37284 43464 47086 70629 74568 94172 141258 188344 282516 432829 565032 865658 1298487 1731316 2596974 3462632 5193948 5626777 10387896 11253554 16880331 22507108 33760662 45014216 67521324 135042648