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135304131645 = 3357119173907
BaseRepresentation
bin111111000000011000…
…0010011010000111101
3110221020120121001101000
41332000300103100331
54204100324203040
6142054033040513
712526651100004
oct1760060232075
9427216531330
10135304131645
1152422722801
12222810b6139
13c9b3a49977
146797ad7c3b
1537bd843130
hex1f80c1343d

135304131645 has 64 divisors (see below), whose sum is σ = 245209006080. Its totient is φ = 70772385600.

The previous prime is 135304131643. The next prime is 135304131649. The reversal of 135304131645 is 546131403531.

135304131645 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 0 + 4 + 1 + 3 + 1 + 645 = 666.

It is not a de Polignac number, because 135304131645 - 21 = 135304131643 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135304131643) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1793782 + ... + 1867688.

It is an arithmetic number, because the mean of its divisors is an integer number (3831390720).

Almost surely, 2135304131645 is an apocalyptic number.

135304131645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135304131645 is a deficient number, since it is larger than the sum of its proper divisors (109904874435).

135304131645 is a wasteful number, since it uses less digits than its factorization.

135304131645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74183 (or 74177 counting only the distinct ones).

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

The spelling of 135304131645 in words is "one hundred thirty-five billion, three hundred four million, one hundred thirty-one thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 27 45 71 135 191 213 355 573 639 955 1065 1719 1917 2865 3195 5157 8595 9585 13561 25785 40683 67805 73907 122049 203415 221721 366147 369535 610245 665163 1108605 1830735 1995489 3325815 5247397 9977445 14116237 15742191 26236985 42348711 47226573 70581185 78710955 127046133 141679719 211743555 236132865 381138399 635230665 708398595 1002252827 1905691995 3006758481 5011264135 9020275443 15033792405 27060826329 45101377215 135304131645