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135199860 = 2235103131167
BaseRepresentation
bin10000000111011…
…11110001110100
3100102101212100020
420003233301310
5234102343420
621225445140
73231115455
oct1003576164
9312355306
10135199860
116a353724
12393407b0
1322019523
1413d5512c
15bd09340
hex80efc74

135199860 has 96 divisors (see below), whose sum is σ = 387459072. Its totient is φ = 35218560.

The previous prime is 135199859. The next prime is 135199891. The reversal of 135199860 is 68991531.

135199860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809497 + ... + 809663.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032).

Almost surely, 2135199860 is an apocalyptic number.

135199860 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 135199860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193729536).

135199860 is an abundant number, since it is smaller than the sum of its proper divisors (252259212).

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

135199860 is a wasteful number, since it uses less digits than its factorization.

135199860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 135199860 is about 11627.5474628143. The cubic root of 135199860 is about 513.2458116187.

The spelling of 135199860 in words is "one hundred thirty-five million, one hundred ninety-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 131 167 206 262 309 334 393 412 501 515 524 618 655 668 786 835 1002 1030 1236 1310 1545 1572 1670 1965 2004 2060 2505 2620 3090 3340 3930 5010 6180 7860 10020 13493 17201 21877 26986 34402 40479 43754 51603 53972 65631 67465 68804 80958 86005 87508 103206 109385 131262 134930 161916 172010 202395 206412 218770 258015 262524 269860 328155 344020 404790 437540 516030 656310 809580 1032060 1312620 2253331 4506662 6759993 9013324 11266655 13519986 22533310 27039972 33799965 45066620 67599930 135199860