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135131436 = 223311176691
BaseRepresentation
bin10000000110111…
…11000100101100
3100102021101111000
420003133010230
5234043201221
621224200300
73230412126
oct1003370454
9312241430
10135131436
116a307280
1239309090
1321cc433b
1413d38216
15bce3e26
hex80df12c

135131436 has 96 divisors (see below), whose sum is σ = 404732160. Its totient is φ = 38534400.

The previous prime is 135131431. The next prime is 135131467. The reversal of 135131436 is 634131531.

135131436 is a `hidden beast` number, since 1 + 3 + 513 + 143 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (135131431) 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, 16851 + ... + 23541.

It is an arithmetic number, because the mean of its divisors is an integer number (4215960).

Almost surely, 2135131436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135131436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202366080).

135131436 is an abundant number, since it is smaller than the sum of its proper divisors (269600724).

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

135131436 is a wasteful number, since it uses less digits than its factorization.

135131436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6732 (or 6724 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 135131436 is about 11624.6047674749. The cubic root of 135131436 is about 513.1592132610.

Adding to 135131436 its reverse (634131531), we get a palindrome (769262967).

The spelling of 135131436 in words is "one hundred thirty-five million, one hundred thirty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6691 6732 10098 13382 20073 20196 26764 40146 60219 73601 80292 113747 120438 147202 180657 220803 227494 240876 294404 341241 361314 441606 454988 662409 682482 722628 883212 1023723 1251217 1324818 1364964 1987227 2047446 2502434 2649636 3071169 3753651 3974454 4094892 5004868 6142338 7507302 7948908 11260953 12284676 15014604 22521906 33782859 45043812 67565718 135131436