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132138087546771 = 33139925031397609
BaseRepresentation
bin11110000010110111001011…
…110001001111111110010011
3122022212021111111221022212000
4132002313023301033332103
5114304422300402444041
61145011222134205043
736555442664041455
oct3602671361177623
9568767444838760
10132138087546771
11391154a2650799
12129a12b61b3783
1358967504075c7
14248b7362902d5
151042335429bb6
hex782dcbc4ff93

132138087546771 has 32 divisors (see below), whose sum is σ = 195978464640000. Its totient is φ = 87993858095424.

The previous prime is 132138087546737. The next prime is 132138087546827. The reversal of 132138087546771 is 177645780831231.

132138087546771 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 8 + 0 + 87 + 546 + 7 + 7 + 1 = 666.

It is not a de Polignac number, because 132138087546771 - 210 = 132138087545747 is a prime.

It is a super-2 number, since 2×1321380875467712 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132138087546699 and 132138087546708.

It is not an unprimeable number, because it can be changed into a prime (132138087546701) 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, 93847015 + ... + 95244623.

It is an arithmetic number, because the mean of its divisors is an integer number (6124327020000).

Almost surely, 2132138087546771 is an apocalyptic number.

132138087546771 is a deficient number, since it is larger than the sum of its proper divisors (63840377093229).

132138087546771 is a wasteful number, since it uses less digits than its factorization.

132138087546771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401520 (or 1401514 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 132138087546771 in words is "one hundred thirty-two trillion, one hundred thirty-eight billion, eighty-seven million, five hundred forty-six thousand, seven hundred seventy-one".

Divisors: 1 3 9 27 1399 2503 4197 7509 12591 22527 37773 67581 1397609 3501697 4192827 10505091 12578481 31515273 37735443 94545819 1955254991 3498215327 5865764973 10494645981 17597294919 31483937943 52791884757 94451813829 4894003242473 14682009727419 44046029182257 132138087546771