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135021320 = 23571273797
BaseRepresentation
bin10000000110001…
…00001100001000
3100102001210102122
420003010030020
5234031140240
621221550412
73226443110
oct1003041410
9312053378
10135021320
116a241575
1239275408
1321c86195
1413d0a040
15bcc14b5
hex80c4308

135021320 has 64 divisors (see below), whose sum is σ = 350023680. Its totient is φ = 45916416.

The previous prime is 135021269. The next prime is 135021373. The reversal of 135021320 is 23120531.

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 15 ways as a sum of consecutive naturals, for example, 33662 + ... + 37458.

It is an arithmetic number, because the mean of its divisors is an integer number (5469120).

Almost surely, 2135021320 is an apocalyptic number.

135021320 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 135021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175011840).

135021320 is an abundant number, since it is smaller than the sum of its proper divisors (215002360).

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

135021320 is a wasteful number, since it uses less digits than its factorization.

135021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 135021320 is about 11619.8674691237. The cubic root of 135021320 is about 513.0197875350.

Adding to 135021320 its reverse (23120531), we get a palindrome (158141851).

The spelling of 135021320 in words is "one hundred thirty-five million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 508 635 889 1016 1270 1778 2540 3556 3797 4445 5080 7112 7594 8890 15188 17780 18985 26579 30376 35560 37970 53158 75940 106316 132895 151880 212632 265790 482219 531580 964438 1063160 1928876 2411095 3375533 3857752 4822190 6751066 9644380 13502132 16877665 19288760 27004264 33755330 67510660 135021320