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135133136136 = 23331736800963
BaseRepresentation
bin111110111011010010…
…0000000010100001000
3110220210122211120122000
41331312210000110020
54203223040324021
6142025044031000
712522503463555
oct1756644002410
9426718746560
10135133136136
11523451502a9
1222233992460
13c9874a94ab
14677d105a2c
1537ad817b26
hex1f76900508

135133136136 has 64 divisors (see below), whose sum is σ = 397450411200. Its totient is φ = 42394708224.

The previous prime is 135133136107. The next prime is 135133136161. The reversal of 135133136136 is 631631331531.

135133136136 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 3 + 31 + 3 + 613 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135133136136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18396810 + ... + 18404153.

It is an arithmetic number, because the mean of its divisors is an integer number (6210162675).

Almost surely, 2135133136136 is an apocalyptic number.

It is an amenable number.

135133136136 is an abundant number, since it is smaller than the sum of its proper divisors (262317275064).

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

135133136136 is a wasteful number, since it uses less digits than its factorization.

135133136136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36800995 (or 36800985 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

Adding to 135133136136 its reverse (631631331531), we get a palindrome (766764467667).

The spelling of 135133136136 in words is "one hundred thirty-five billion, one hundred thirty-three million, one hundred thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 36800963 73601926 110402889 147203852 220805778 294407704 331208667 441611556 625616371 662417334 883223112 993626001 1251232742 1324834668 1876849113 1987252002 2502465484 2649669336 3753698226 3974504004 5004930968 5630547339 7507396452 7949008008 11261094678 15014792904 16891642017 22522189356 33783284034 45044378712 67566568068 135133136136