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132656150155464 = 233213255191975367
BaseRepresentation
bin11110001010011001101010…
…101101010001000011001000
3122101200210201012010122002200
4132022121222231101003020
5114341414243414433324
61150045221042000200
736641043031413645
oct3612315255210310
9571623635118080
10132656150155464
11392a5180473471
1212a65798346060
135903562737100
1424a884035adcc
151050a56b81ec9
hex78a66ab510c8

132656150155464 has 144 divisors (see below), whose sum is σ = 389110359081600. Its totient is φ = 40809860537472.

The previous prime is 132656150155439. The next prime is 132656150155513. The reversal of 132656150155464 is 464551051656231.

132656150155464 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 5 + 615 + 0 + 15 + 5 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×1326561501554642 (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 132656150155464.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66167509 + ... + 68142875.

It is an arithmetic number, because the mean of its divisors is an integer number (2702155271400).

Almost surely, 2132656150155464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132656150155464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194555179540800).

132656150155464 is an abundant number, since it is smaller than the sum of its proper divisors (256454208926136).

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

132656150155464 is a wasteful number, since it uses less digits than its factorization.

132656150155464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980924 (or 1980904 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 132656150155464 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, one hundred fifty million, one hundred fifty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 5519 6084 11038 12168 16557 22076 33114 44152 49671 66228 71747 99342 132456 143494 198684 215241 286988 397368 430482 573976 645723 860964 932711 1291446 1721928 1865422 1975367 2582892 2798133 3730844 3950734 5165784 5596266 5926101 7461688 7901468 8394399 11192532 11852202 15802936 16788798 17778303 22385064 23704404 25679771 33577596 35556606 47408808 51359542 67155192 71113212 77039313 102719084 142226424 154078626 205438168 231117939 308157252 333837023 462235878 616314504 667674046 924471756 1001511069 1335348092 1848943512 2003022138 2670696184 3004533207 4006044276 6009066414 8012088552 10902050473 12018132828 21804100946 24036265656 32706151419 43608201892 65412302838 87216403784 98118454257 130824605676 141726656149 196236908514 261649211352 283453312298 392473817028 425179968447 566906624596 784947634056 850359936894 1133813249192 1275539905341 1700719873788 1842446529937 2551079810682 3401439747576 3684893059874 5102159621364 5527339589811 7369786119748 10204319242728 11054679179622 14739572239496 16582018769433 22109358359244 33164037538866 44218716718488 66328075077732 132656150155464