Search a number
-
+
135255042 = 23313238377
BaseRepresentation
bin10000000111111…
…01010000000010
3100102111200001000
420003331100002
5234111130132
621230552430
73231435366
oct1003752002
9312450030
10135255042
116a39112a
1239368716
1322038690
1413d6b2a6
15bd1a87c
hex80fd402

135255042 has 64 divisors (see below), whose sum is σ = 337800960. Its totient is φ = 39802752.

The previous prime is 135255041. The next prime is 135255047. The reversal of 135255042 is 240552531.

It is a happy number.

135255042 is a `hidden beast` number, since 135 + 25 + 504 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135254997 and 135255015.

It is not an unprimeable number, because it can be changed into a prime (135255041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11958 + ... + 20334.

It is an arithmetic number, because the mean of its divisors is an integer number (5278140).

Almost surely, 2135255042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135255042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168900480).

135255042 is an abundant number, since it is smaller than the sum of its proper divisors (202545918).

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

135255042 is a wasteful number, since it uses less digits than its factorization.

135255042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8424 (or 8418 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 135255042 is about 11629.9201201040. The cubic root of 135255042 is about 513.3156294376.

The spelling of 135255042 in words is "one hundred thirty-five million, two hundred fifty-five thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 207 234 299 351 414 598 621 702 897 1242 1794 2691 5382 8073 8377 16146 16754 25131 50262 75393 108901 150786 192671 217802 226179 326703 385342 452358 578013 653406 980109 1156026 1734039 1960218 2504723 2940327 3468078 5009446 5202117 5880654 7514169 10404234 15028338 22542507 45085014 67627521 135255042