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135807842295 = 3352356142697
BaseRepresentation
bin111111001111011000…
…1110011011111110111
3110222112200102012111000
41332132301303133313
54211113301423140
6142220025214343
712545305420116
oct1763661633767
9428480365430
10135807842295
1152660a93aa4
12223a19313b3
13ca642009c8
146804977c7d
1537ecb90a30
hex1f9ec737f7

135807842295 has 32 divisors (see below), whose sum is σ = 241452066240. Its totient is φ = 72426078720.

The previous prime is 135807842279. The next prime is 135807842299. The reversal of 135807842295 is 592248708531.

135807842295 is a `hidden beast` number, since 13 + 58 + 0 + 78 + 422 + 95 = 666.

It is not a de Polignac number, because 135807842295 - 24 = 135807842279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135807842299) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3159387 + ... + 3202083.

It is an arithmetic number, because the mean of its divisors is an integer number (7545377070).

Almost surely, 2135807842295 is an apocalyptic number.

135807842295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135807842295 is a deficient number, since it is larger than the sum of its proper divisors (105644223945).

135807842295 is a wasteful number, since it uses less digits than its factorization.

135807842295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66272 (or 66266 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 135807842295 in words is "one hundred thirty-five billion, eight hundred seven million, eight hundred forty-two thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 135 23561 42697 70683 117805 128091 212049 213485 353415 384273 636147 640455 1060245 1152819 1921365 3180735 5764095 1005984017 3017952051 5029920085 9053856153 15089760255 27161568459 45269280765 135807842295