Search a number
-
+
134507132032 = 2771311547659
BaseRepresentation
bin111110101000100111…
…1111111010010000000
3110212012000220021102211
41331101033333102000
54200432311211112
6141443002351504
712501132520660
oct1752117772200
9425160807384
10134507132032
1152053851139
122209a1bb594
13c8b78a7670
14671dd101a0
1537738b00a7
hex1f513ff480

134507132032 has 64 divisors (see below), whose sum is σ = 329801169600. Its totient is φ = 53211608064.

The previous prime is 134507131999. The next prime is 134507132047. The reversal of 134507132032 is 230231705431.

134507132032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 134507131985 and 134507132003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5762182 + ... + 5785477.

It is an arithmetic number, because the mean of its divisors is an integer number (5153143275).

Almost surely, 2134507132032 is an apocalyptic number.

It is an amenable number.

134507132032 is an abundant number, since it is smaller than the sum of its proper divisors (195294037568).

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

134507132032 is a wasteful number, since it uses less digits than its factorization.

134507132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11547693 (or 11547681 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

Adding to 134507132032 its reverse (230231705431), we get a palindrome (364738837463).

The spelling of 134507132032 in words is "one hundred thirty-four billion, five hundred seven million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 11648 11547659 23095318 46190636 80833613 92381272 150119567 161667226 184762544 300239134 323334452 369525088 600478268 646668904 739050176 1050836969 1200956536 1293337808 1478100352 2101673938 2401913072 2586675616 4203347876 4803826144 5173351232 8406695752 9607652288 10346702464 16813391504 19215304576 33626783008 67253566016 134507132032