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133065140 = 225132512039
BaseRepresentation
bin1111110111001…
…10100110110100
3100021101102001112
413323212212310
5233031041030
621112014152
73204015005
oct773464664
9307342045
10133065140
116912589a
1238691358
132174c990
141395b1ac
15ba36a95
hex7ee69b4

133065140 has 48 divisors (see below), whose sum is σ = 302279040. Its totient is φ = 48912000.

The previous prime is 133065089. The next prime is 133065157. The reversal of 133065140 is 41560331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64241 + ... + 66279.

It is an arithmetic number, because the mean of its divisors is an integer number (6297480).

Almost surely, 2133065140 is an apocalyptic number.

133065140 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 133065140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151139520).

133065140 is an abundant number, since it is smaller than the sum of its proper divisors (169213900).

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

133065140 is a wasteful number, since it uses less digits than its factorization.

133065140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 133065140 is about 11535.3864261237. The cubic root of 133065140 is about 510.5301932085.

The spelling of 133065140 in words is "one hundred thirty-three million, sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 251 260 502 1004 1255 2039 2510 3263 4078 5020 6526 8156 10195 13052 16315 20390 26507 32630 40780 53014 65260 106028 132535 265070 511789 530140 1023578 2047156 2558945 5117890 6653257 10235780 13306514 26613028 33266285 66532570 133065140