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132881126805 = 3357367383147
BaseRepresentation
bin111101111000001010…
…1010001010110010101
3110200222201021122121000
41323300111101112111
54134120032024210
6141013355413513
712412626640650
oct1736025212625
9420881248530
10132881126805
1151399a28369
1221905754299
13c6b8a67cab
146607daa897
1536cac75ac0
hex1ef0551595

132881126805 has 64 divisors (see below), whose sum is σ = 270717050880. Its totient is φ = 60579980352.

The previous prime is 132881126783. The next prime is 132881126837. The reversal of 132881126805 is 508621188231.

It is not a de Polignac number, because 132881126805 - 214 = 132881110421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155242 + ... + 538388.

It is an arithmetic number, because the mean of its divisors is an integer number (4229953920).

Almost surely, 2132881126805 is an apocalyptic number.

132881126805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132881126805 is an abundant number, since it is smaller than the sum of its proper divisors (137835924075).

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

132881126805 is a wasteful number, since it uses less digits than its factorization.

132881126805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383535 (or 383529 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 132881126805 in words is "one hundred thirty-two billion, eight hundred eighty-one million, one hundred twenty-six thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 367 945 1101 1835 2569 3303 5505 7707 9909 12845 16515 23121 38535 49545 69363 115605 346815 383147 1149441 1915735 2682029 3448323 5747205 8046087 10344969 13410145 17241615 24138261 40230435 51724845 72414783 120691305 140614949 362073915 421844847 703074745 984304643 1265534541 2109224235 2952913929 3796603623 4921523215 6327672705 8858741787 14764569645 18983018115 26576225361 44293708935 132881126805