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135115640 = 235112910589
BaseRepresentation
bin10000000110110…
…11001101111000
3100102020120210222
420003123031320
5234042200030
621223555212
73230315102
oct1003331570
9312216728
10135115640
116a2a6420
12392bbb08
1321cba0aa
1413d32572
15bcde3e5
hex80db378

135115640 has 64 divisors (see below), whose sum is σ = 343116000. Its totient is φ = 47434240.

The previous prime is 135115597. The next prime is 135115657. The reversal of 135115640 is 46511531.

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, 7466 + ... + 18054.

Almost surely, 2135115640 is an apocalyptic number.

135115640 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 135115640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171558000).

135115640 is an abundant number, since it is smaller than the sum of its proper divisors (208000360).

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

135115640 is a wasteful number, since it uses less digits than its factorization.

135115640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10640 (or 10636 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 135115640 is about 11623.9253266700. The cubic root of 135115640 is about 513.1392174726.

The spelling of 135115640 in words is "one hundred thirty-five million, one hundred fifteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 10589 12760 21178 42356 52945 84712 105890 116479 211780 232958 307081 423560 465916 582395 614162 931832 1164790 1228324 1535405 2329580 2456648 3070810 3377891 4659160 6141620 6755782 12283240 13511564 16889455 27023128 33778910 67557820 135115640