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135836520 = 23351318641
BaseRepresentation
bin10000001100010…
…11001101101000
3100110121012200020
420012023031220
5234233232040
621251240440
73236406561
oct1006131550
9313535606
10135836520
116a748a96
12395a9120
13221b0251
141407d168
15bdd2cd0
hex818b368

135836520 has 64 divisors (see below), whose sum is σ = 410667840. Its totient is φ = 35942400.

The previous prime is 135836507. The next prime is 135836531. The reversal of 135836520 is 25638531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11400 + ... + 20040.

It is an arithmetic number, because the mean of its divisors is an integer number (6416685).

Almost surely, 2135836520 is an apocalyptic number.

135836520 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 135836520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205333920).

135836520 is an abundant number, since it is smaller than the sum of its proper divisors (274831320).

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

135836520 is a wasteful number, since it uses less digits than its factorization.

135836520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8786 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 135836520 is about 11654.8925348971. The cubic root of 135836520 is about 514.0501800646.

The spelling of 135836520 in words is "one hundred thirty-five million, eight hundred thirty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 8641 15720 17282 25923 34564 43205 51846 69128 86410 103692 129615 172820 207384 259230 345640 518460 1036920 1131971 2263942 3395913 4527884 5659855 6791826 9055768 11319710 13583652 16979565 22639420 27167304 33959130 45278840 67918260 135836520