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135135310321404 = 22324218916291259
BaseRepresentation
bin11110101110011110100100…
…001010110001011011111100
3122201110210212010100221022100
4132232132210022301123330
5120203024103420241104
61155224145440145100
740315126652213601
oct3656364412613374
9581423763327270
10135135310321404
113a070621784998
12131a6166008190
135a53288752593
1425528263b06a8
1510952a5e32139
hex7ae7a42b16fc

135135310321404 has 36 divisors (see below), whose sum is σ = 342403416966520. Its totient is φ = 44938107940320.

The previous prime is 135135310321397. The next prime is 135135310321447. The reversal of 135135310321404 is 404123013531531.

135135310321404 is a `hidden beast` number, since 1 + 3 + 5 + 13 + 5 + 310 + 321 + 4 + 0 + 4 = 666.

135135310321404 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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4458130474 + ... + 4458160785.

Almost surely, 2135135310321404 is an apocalyptic number.

It is an amenable number.

135135310321404 is an abundant number, since it is smaller than the sum of its proper divisors (207268106645116).

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

135135310321404 is a wasteful number, since it uses less digits than its factorization.

135135310321404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8916291690 (or 8916291685 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 135135310321404 its reverse (404123013531531), we get a palindrome (539258323852935).

The spelling of 135135310321404 in words is "one hundred thirty-five trillion, one hundred thirty-five billion, three hundred ten million, three hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 421 842 1263 1684 2526 3789 5052 7578 15156 8916291259 17832582518 26748873777 35665165036 53497747554 80246621331 106995495108 160493242662 320986485324 3753758620039 7507517240078 11261275860117 15015034480156 22522551720234 33783827580351 45045103440468 67567655160702 135135310321404