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133845300 = 2232521271171
BaseRepresentation
bin1111111101001…
…01000100110100
3100022212001020100
413332211010310
5233231022200
621140434100
73213444351
oct776450464
9308761210
10133845300
1169608a56
12389a8930
1321963b04
1413ac1628
15bb3cd00
hex7fa5134

133845300 has 108 divisors (see below), whose sum is σ = 423195136. Its totient is φ = 35380800.

The previous prime is 133845293. The next prime is 133845319. The reversal of 133845300 is 3548331.

It is a happy number.

It is a congruent number.

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, 113715 + ... + 114885.

Almost surely, 2133845300 is an apocalyptic number.

133845300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133845300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211597568).

133845300 is an abundant number, since it is smaller than the sum of its proper divisors (289349836).

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

133845300 is a wasteful number, since it uses less digits than its factorization.

133845300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133845300 is about 11569.1529508430. The cubic root of 133845300 is about 511.5259946141.

The spelling of 133845300 in words is "one hundred thirty-three million, eight hundred forty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 127 150 180 225 254 300 381 450 508 635 762 900 1143 1171 1270 1524 1905 2286 2342 2540 3175 3513 3810 4572 4684 5715 5855 6350 7026 7620 9525 10539 11430 11710 12700 14052 17565 19050 21078 22860 23420 28575 29275 35130 38100 42156 52695 57150 58550 70260 87825 105390 114300 117100 148717 175650 210780 263475 297434 351300 446151 526950 594868 743585 892302 1053900 1338453 1487170 1784604 2230755 2676906 2974340 3717925 4461510 5353812 6692265 7435850 8923020 11153775 13384530 14871700 22307550 26769060 33461325 44615100 66922650 133845300