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132155323515140 = 22541971661495141
BaseRepresentation
bin11110000011000111001111…
…000111010000000100000100
3122022220220222201110020111212
4132003013033013100010010
5114310213100304441030
61145023152324550552
736556623054254222
oct3603071707200404
9568826881406455
10132155323515140
1139121837929952
12129a4706552458
135898269269763
14248c4cd435b12
1510429e36b3595
hex7831cf1d0104

132155323515140 has 48 divisors (see below), whose sum is σ = 287225988187824. Its totient is φ = 51041130700800.

The previous prime is 132155323515107. The next prime is 132155323515161. The reversal of 132155323515140 is 41515323551231.

It can be written as a sum of positive squares in 8 ways, for example, as 5721625728064 + 126433697787076 = 2391992^2 + 11244274^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

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 15 ways as a sum of consecutive naturals, for example, 830668031 + ... + 830827110.

It is an arithmetic number, because the mean of its divisors is an integer number (5983874753913).

Almost surely, 2132155323515140 is an apocalyptic number.

132155323515140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132155323515140 is an abundant number, since it is smaller than the sum of its proper divisors (155070664672684).

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

132155323515140 is a wasteful number, since it uses less digits than its factorization.

132155323515140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661495288 (or 1661495286 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 41.

The spelling of 132155323515140 in words is "one hundred thirty-two trillion, one hundred fifty-five billion, three hundred twenty-three million, five hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 97 164 194 205 388 410 485 820 970 1940 3977 7954 15908 19885 39770 79540 1661495141 3322990282 6645980564 8307475705 16614951410 33229902820 68121300781 136242601562 161165028677 272485203124 322330057354 340606503905 644660114708 681213007810 805825143385 1362426015620 1611650286770 3223300573540 6607766175757 13215532351514 26431064703028 33038830878785 66077661757570 132155323515140