Search a number
-
+
135519912 = 23331157037
BaseRepresentation
bin10000001001111…
…01111010101000
3100110000010101000
420010331322220
5234143114122
621240355000
73233620533
oct1004757250
9313003330
10135519912
116a552130
1239475a60
13220cc0c8
1413dd9a1a
15bd6e0ac
hex813dea8

135519912 has 64 divisors (see below), whose sum is σ = 410673600. Its totient is φ = 41065920.

The previous prime is 135519911. The next prime is 135519919. The reversal of 135519912 is 219915531.

135519912 is a `hidden beast` number, since 1 + 3 + 551 + 99 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135519911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26143 + ... + 30894.

It is an arithmetic number, because the mean of its divisors is an integer number (6416775).

Almost surely, 2135519912 is an apocalyptic number.

135519912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135519912 is an abundant number, since it is smaller than the sum of its proper divisors (275153688).

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

135519912 is a wasteful number, since it uses less digits than its factorization.

135519912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57063 (or 57053 counting only the distinct ones).

The product of its digits is 12150, while the sum is 36.

The square root of 135519912 is about 11641.3019890389. The cubic root of 135519912 is about 513.6504863464.

The spelling of 135519912 in words is "one hundred thirty-five million, five hundred nineteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 57037 114074 171111 228148 342222 456296 513333 627407 684444 1026666 1254814 1368888 1539999 1882221 2053332 2509628 3079998 3764442 4106664 5019256 5646663 6159996 7528884 11293326 12319992 15057768 16939989 22586652 33879978 45173304 67759956 135519912