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135513254205 = 3357143400269
BaseRepresentation
bin111111000110100111…
…0000010100100111101
3110221210011002120121000
41332031032002210331
54210012343113310
6142130503200513
712535100440530
oct1761516024475
9427704076530
10135513254205
115251a77666a
122231b146139
13ca18179324
1467b77b2a17
1537d1da04c0
hex1f8d38293d

135513254205 has 32 divisors (see below), whose sum is σ = 275328518400. Its totient is φ = 61948915776.

The previous prime is 135513254189. The next prime is 135513254213. The reversal of 135513254205 is 502452315531.

135513254205 is a `hidden beast` number, since 1 + 3 + 551 + 32 + 54 + 20 + 5 = 666.

It is not a de Polignac number, because 135513254205 - 24 = 135513254189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135513254205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71699190 + ... + 71701079.

It is an arithmetic number, because the mean of its divisors is an integer number (8604016200).

Almost surely, 2135513254205 is an apocalyptic number.

135513254205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135513254205 is an abundant number, since it is smaller than the sum of its proper divisors (139815264195).

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

135513254205 is a wasteful number, since it uses less digits than its factorization.

135513254205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143400290 (or 143400284 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 135513254205 its reverse (502452315531), we get a palindrome (637965569736).

The spelling of 135513254205 in words is "one hundred thirty-five billion, five hundred thirteen million, two hundred fifty-four thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 143400269 430200807 717001345 1003801883 1290602421 2151004035 3011405649 3871807263 5019009415 6453012105 9034216947 15057028245 19359036315 27102650841 45171084735 135513254205