Search a number
-
+
135500148 = 22337179233
BaseRepresentation
bin10000001001110…
…01000101110100
3100102222010021000
420010321011310
5234142001043
621240123300
73233506110
oct1004710564
9312863230
10135500148
116a5392a3
1239466530
13220c3104
1413dd2740
15bd682d3
hex8139174

135500148 has 48 divisors (see below), whose sum is σ = 401484160. Its totient is φ = 38714112.

The previous prime is 135500147. The next prime is 135500161. The reversal of 135500148 is 841005531.

135500148 is a `hidden beast` number, since 13 + 5 + 500 + 148 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135500143) 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 15 ways as a sum of consecutive naturals, for example, 88861 + ... + 90372.

Almost surely, 2135500148 is an apocalyptic number.

135500148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135500148 is an abundant number, since it is smaller than the sum of its proper divisors (265984012).

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

135500148 is a wasteful number, since it uses less digits than its factorization.

135500148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179253 (or 179245 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 135500148 is about 11640.4530839654. The cubic root of 135500148 is about 513.6255151531.

Adding to 135500148 its reverse (841005531), we get a palindrome (976505679).

The spelling of 135500148 in words is "one hundred thirty-five million, five hundred thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 179233 358466 537699 716932 1075398 1254631 1613097 2150796 2509262 3226194 3763893 4839291 5018524 6452388 7527786 9678582 11291679 15055572 19357164 22583358 33875037 45166716 67750074 135500148