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135344000 = 275311769
BaseRepresentation
bin10000001000100…
…10111110000000
3100102200012001202
420010102332000
5234122002000
621232520332
73232255631
oct1004227600
9312605052
10135344000
116a441a50
12393b00a8
132206a00c
1413d91888
15bd36dd5
hex8112f80

135344000 has 128 divisors (see below), whose sum is σ = 367567200. Its totient is φ = 49152000.

The previous prime is 135343997. The next prime is 135344009. The reversal of 135344000 is 443531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135344009) 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, 175616 + ... + 176384.

Almost surely, 2135344000 is an apocalyptic number.

135344000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183783600).

135344000 is an abundant number, since it is smaller than the sum of its proper divisors (232223200).

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

135344000 is an equidigital number, since it uses as much as digits as its factorization.

135344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 135344000 is about 11633.7440233142. The cubic root of 135344000 is about 513.4281416311.

Adding to 135344000 its reverse (443531), we get a palindrome (135787531).

The spelling of 135344000 in words is "one hundred thirty-five million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 640 704 769 800 880 1000 1100 1375 1408 1538 1600 1760 2000 2200 2750 3076 3200 3520 3845 4000 4400 5500 6152 7040 7690 8000 8459 8800 11000 12304 15380 16000 16918 17600 19225 22000 24608 30760 33836 35200 38450 42295 44000 49216 61520 67672 76900 84590 88000 96125 98432 123040 135344 153800 169180 176000 192250 211475 246080 270688 307600 338360 384500 422950 492160 541376 615200 676720 769000 845900 1057375 1082752 1230400 1353440 1538000 1691800 2114750 2460800 2706880 3076000 3383600 4229500 5413760 6152000 6767200 8459000 12304000 13534400 16918000 27068800 33836000 67672000 135344000