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135146434215 = 35136127494133
BaseRepresentation
bin111110111011101011…
…0101110111010100111
3110220211120212012011110
41331313112232322213
54203234441343330
6142030241040103
712523024510512
oct1756726567247
9426746765143
10135146434215
1152351703351
1222238326033
13c98a184290
146780ba7d79
1537aea92db0
hex1f775aeea7

135146434215 has 64 divisors (see below), whose sum is σ = 236828592000. Its totient is φ = 65403279360.

The previous prime is 135146434193. The next prime is 135146434231. The reversal of 135146434215 is 512434641531.

It is not a de Polignac number, because 135146434215 - 214 = 135146417831 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32697289 + ... + 32701421.

It is an arithmetic number, because the mean of its divisors is an integer number (3700446750).

Almost surely, 2135146434215 is an apocalyptic number.

135146434215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135146434215 is a deficient number, since it is larger than the sum of its proper divisors (101682157785).

135146434215 is a wasteful number, since it uses less digits than its factorization.

135146434215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6964.

The product of its digits is 172800, while the sum is 39.

The spelling of 135146434215 in words is "one hundred thirty-five billion, one hundred forty-six million, four hundred thirty-four thousand, two hundred fifteen".

Divisors: 1 3 5 13 15 39 61 65 183 195 305 793 915 2379 2749 3965 4133 8247 11895 12399 13745 20665 35737 41235 53729 61995 107211 161187 167689 178685 252113 268645 503067 536055 756339 805935 838445 1260565 2179957 2515335 3277469 3781695 6539871 9832407 10899785 11361617 16387345 32699355 34084851 49162035 56808085 147701021 170424255 443103063 693058637 738505105 2079175911 2215515315 3465293185 9009762281 10395879555 27029286843 45048811405 135146434215