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132144121451205 = 35523291019160019
BaseRepresentation
bin11110000010111100110011…
…011010110001001011000101
3122022212212002000210102200000
4132002330303122301023011
5114310022130042414310
61145014101001511513
736556045342266543
oct3602746332611305
9568785060712600
10132144121451205
1139118009629476
12129a24baaa2599
1358971a2514566
14248bb497a6d93
15104258a00d4c0
hex782f336b12c5

132144121451205 has 192 divisors, whose sum is σ = 256660814592000. Its totient is φ = 65023798194432.

The previous prime is 132144121451179. The next prime is 132144121451213. The reversal of 132144121451205 is 502154121441231.

132144121451205 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 441 + 2 + 1 + 4 + 5 + 1 + 205 = 666.

It is not a de Polignac number, because 132144121451205 - 212 = 132144121447109 is a prime.

It is a super-2 number, since 2×1321441214512052 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132144121451205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 825722686 + ... + 825882704.

It is an arithmetic number, because the mean of its divisors is an integer number (1336775076000).

Almost surely, 2132144121451205 is an apocalyptic number.

132144121451205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132144121451205 is a deficient number, since it is larger than the sum of its proper divisors (124516693140795).

132144121451205 is a wasteful number, since it uses less digits than its factorization.

132144121451205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161110 (or 161098 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 132144121451205 its reverse (502154121441231), we get a palindrome (634298242892436).

The spelling of 132144121451205 in words is "one hundred thirty-two trillion, one hundred forty-four billion, one hundred twenty-one million, four hundred fifty-one thousand, two hundred five".