Search a number
-
+
135152238 = 231329149401
BaseRepresentation
bin10000000111001…
…00001001101110
3100102022110000110
420003210021232
5234044332423
621224440450
73230526564
oct1003441156
9312273013
10135152238
116a320971
1239319126
1322000950
1413d41a34
15bcea193
hex80e426e

135152238 has 64 divisors (see below), whose sum is σ = 303912000. Its totient is φ = 39782400.

The previous prime is 135152207. The next prime is 135152239. The reversal of 135152238 is 832251531.

It is a super-2 number, since 2×1351522382 = 36532254872817288, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135152239) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 336838 + ... + 337238.

It is an arithmetic number, because the mean of its divisors is an integer number (4748625).

Almost surely, 2135152238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135152238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151956000).

135152238 is an abundant number, since it is smaller than the sum of its proper divisors (168759762).

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

135152238 is a wasteful number, since it uses less digits than its factorization.

135152238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597.

The product of its digits is 7200, while the sum is 30.

The square root of 135152238 is about 11625.4994731409. The cubic root of 135152238 is about 513.1855436511.

It can be divided in two parts, 13515 and 2238, that added together give a triangular number (15753 = T177).

The spelling of 135152238 in words is "one hundred thirty-five million, one hundred fifty-two thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 149 174 298 377 401 447 754 802 894 1131 1203 1937 2262 2406 3874 4321 5213 5811 8642 10426 11622 11629 12963 15639 23258 25926 31278 34887 56173 59749 69774 112346 119498 151177 168519 179247 302354 337038 358494 453531 776737 907062 1553474 1732721 2330211 3465442 4660422 5198163 10396326 22525373 45050746 67576119 135152238