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132091008 = 2737157313
BaseRepresentation
bin1111101111110…
…00110010000000
3100012112220210120
413313320302000
5232303403013
621035100240
73162516660
oct767706200
9305486716
10132091008
116861aa25
12382a1680
132149b47a
14137861a0
15b8e3123
hex7df8c80

132091008 has 128 divisors (see below), whose sum is σ = 404833920. Its totient is φ = 37380096.

The previous prime is 132090989. The next prime is 132091039. The reversal of 132091008 is 800190231.

132091008 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421860 + ... + 422172.

It is an arithmetic number, because the mean of its divisors is an integer number (3162765).

Almost surely, 2132091008 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 132091008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202416960).

132091008 is an abundant number, since it is smaller than the sum of its proper divisors (272742912).

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

132091008 is a wasteful number, since it uses less digits than its factorization.

132091008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 132091008 is about 11493.0852254736. The cubic root of 132091008 is about 509.2813253062.

The spelling of 132091008 in words is "one hundred thirty-two million, ninety-one thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 157 168 192 224 313 314 336 384 448 471 626 628 672 896 939 942 1099 1252 1256 1344 1878 1884 2191 2198 2504 2512 2688 3297 3756 3768 4382 4396 5008 5024 6573 6594 7512 7536 8764 8792 10016 10048 13146 13188 15024 15072 17528 17584 20032 20096 26292 26376 30048 30144 35056 35168 40064 49141 52584 52752 60096 60288 70112 70336 98282 105168 105504 120192 140224 140672 147423 196564 210336 211008 280448 294846 343987 393128 420672 422016 589692 687974 786256 841344 1031961 1179384 1375948 1572512 2063922 2358768 2751896 3145024 4127844 4717536 5503792 6290048 8255688 9435072 11007584 16511376 18870144 22015168 33022752 44030336 66045504 132091008