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132089216136 = 2333112710931279
BaseRepresentation
bin111101100000100100…
…0010111110010001000
3110121221112011102101020
41323001020113302020
54131004314404021
6140403030152440
712354202545333
oct1730110276210
9417845142336
10132089216136
1151022a12139
12217244b2720
13c5c09880b7
146570b4961a
15368149a7c6
hex1ec1217c88

132089216136 has 128 divisors (see below), whose sum is σ = 344142643200. Its totient is φ = 42202218240.

The previous prime is 132089216123. The next prime is 132089216179. The reversal of 132089216136 is 631612980231.

It is a super-2 number, since 2×1320892161362 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103274745 + ... + 103276023.

It is an arithmetic number, because the mean of its divisors is an integer number (2688614400).

Almost surely, 2132089216136 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 132089216136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172071321600).

132089216136 is an abundant number, since it is smaller than the sum of its proper divisors (212053427064).

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

132089216136 is a wasteful number, since it uses less digits than its factorization.

132089216136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 132089216136 in words is "one hundred thirty-two billion, eighty-nine million, two hundred sixteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 127 186 248 254 372 381 508 744 762 1016 1093 1279 1524 2186 2558 3048 3279 3837 3937 4372 5116 6558 7674 7874 8744 10232 11811 13116 15348 15748 23622 26232 30696 31496 33883 39649 47244 67766 79298 94488 101649 118947 135532 138811 158596 162433 203298 237894 271064 277622 317192 324866 406596 416433 475788 487299 555244 649732 813192 832866 951576 974598 1110488 1299464 1397947 1665732 1949196 2795894 3331464 3898392 4193841 4303141 5035423 5591788 8387682 8606282 10070846 11183576 12909423 15106269 16775364 17212564 20141692 25818846 30212538 33550728 34425128 40283384 43336357 51637692 60425076 86672714 103275384 120850152 130009071 173345428 177539269 260018142 346690856 355078538 520036284 532617807 710157076 1040072568 1065235614 1420314152 2130471228 4260942456 5503717339 11007434678 16511152017 22014869356 33022304034 44029738712 66044608068 132089216136