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133435120 = 24571318329
BaseRepresentation
bin1111111010000…
…00111011110000
3100022002012120111
413331000323300
5233124410440
621123551104
73210115450
oct775007360
9308065514
10133435120
1169358865
123882b494
132184c1c0
1413a15d60
15baab4ea
hex7f40ef0

133435120 has 80 divisors (see below), whose sum is σ = 381850560. Its totient is φ = 42227712.

The previous prime is 133435117. The next prime is 133435153. The reversal of 133435120 is 21534331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 133435091 and 133435100.

It is a congruent number.

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, 1885 + ... + 16444.

It is an arithmetic number, because the mean of its divisors is an integer number (4773132).

Almost surely, 2133435120 is an apocalyptic number.

133435120 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 133435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190925280).

133435120 is an abundant number, since it is smaller than the sum of its proper divisors (248415440).

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

133435120 is a wasteful number, since it uses less digits than its factorization.

133435120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18362 (or 18356 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 133435120 is about 11551.4120348986. The cubic root of 133435120 is about 511.0029220003.

Adding to 133435120 its reverse (21534331), we get a palindrome (154969451).

The spelling of 133435120 in words is "one hundred thirty-three million, four hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 18329 36658 73316 91645 128303 146632 183290 238277 256606 293264 366580 476554 513212 641515 733160 953108 1026424 1191385 1283030 1466320 1667939 1906216 2052848 2382770 2566060 3335878 3812432 4765540 5132120 6671756 8339695 9531080 10264240 13343512 16679390 19062160 26687024 33358780 66717560 133435120