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135205344378 = 232131062754371
BaseRepresentation
bin111110111101011011…
…1011101010001111010
3110220222200201010201100
41331322313131101322
54203400032010003
6142040143432230
712524341315326
oct1757267352172
9426880633640
10135205344378
115238198a435
1222253bb5676
13c99943c170
146788940986
1537b4d2cba3
hex1f7addd47a

135205344378 has 48 divisors (see below), whose sum is σ = 315514626336. Its totient is φ = 41596964640.

The previous prime is 135205344361. The next prime is 135205344433. The reversal of 135205344378 is 873443502531.

135205344378 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 0 + 534 + 43 + 78 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2459533 + ... + 2513903.

It is an arithmetic number, because the mean of its divisors is an integer number (6573221382).

Almost surely, 2135205344378 is an apocalyptic number.

135205344378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

135205344378 is an abundant number, since it is smaller than the sum of its proper divisors (180309281958).

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

135205344378 is a wasteful number, since it uses less digits than its factorization.

135205344378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65019 (or 65016 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 135205344378 in words is "one hundred thirty-five billion, two hundred five million, three hundred forty-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 10627 21254 31881 54371 63762 95643 108742 138151 163113 191286 276302 326226 414453 489339 706823 828906 978678 1243359 1413646 2120469 2486718 4240938 6361407 12722814 577800617 1155601234 1733401851 3466803702 5200205553 7511408021 10400411106 15022816042 22534224063 45068448126 67602672189 135205344378