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135480675348 = 223220771181183
BaseRepresentation
bin111111000101101000…
…1110000110000010100
3110221200212210101210200
41332023101300300110
54204431023102343
6142123341020500
712534223511454
oct1761321606024
9427625711720
10135480675348
1152503344697
1222310254730
13ca114b05b5
1467b3331d64
1537ce0b74d3
hex1f8b470c14

135480675348 has 36 divisors (see below), whose sum is σ = 342483418368. Its totient is φ = 45157801680.

The previous prime is 135480675307. The next prime is 135480675401. The reversal of 135480675348 is 843576084531.

135480675348 is a `hidden beast` number, since 1 + 3 + 5 + 48 + 0 + 67 + 534 + 8 = 666.

135480675348 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1354806753482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135480675294 and 135480675303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657165 + ... + 838347.

It is an arithmetic number, because the mean of its divisors is an integer number (9513428288).

Almost surely, 2135480675348 is an apocalyptic number.

135480675348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135480675348 is an abundant number, since it is smaller than the sum of its proper divisors (207002743020).

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

135480675348 is a wasteful number, since it uses less digits than its factorization.

135480675348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201964 (or 201959 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 135480675348 in words is "one hundred thirty-five billion, four hundred eighty million, six hundred seventy-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 20771 41542 62313 83084 124626 181183 186939 249252 362366 373878 543549 724732 747756 1087098 1630647 2174196 3261294 6522588 3763352093 7526704186 11290056279 15053408372 22580112558 33870168837 45160225116 67740337674 135480675348