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133825065 = 35111814481
BaseRepresentation
bin1111111101000…
…00001000101001
3100022211000110220
413332200020221
5233224400230
621140200253
73213331353
oct776401051
9308730426
10133825065
11695a4830
1238999089
132195783a
1413ab80d3
15bb36d10
hex7fa0229

133825065 has 32 divisors (see below), whose sum is σ = 234928512. Its totient is φ = 64512000.

The previous prime is 133825051. The next prime is 133825091. The reversal of 133825065 is 560528331.

It is not a de Polignac number, because 133825065 - 26 = 133825001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27625 + ... + 32105.

It is an arithmetic number, because the mean of its divisors is an integer number (7341516).

Almost surely, 2133825065 is an apocalyptic number.

133825065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133825065 is a deficient number, since it is larger than the sum of its proper divisors (101103447).

133825065 is a wasteful number, since it uses less digits than its factorization.

133825065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 133825065 is about 11568.2783939530. The cubic root of 133825065 is about 511.5002154741.

The spelling of 133825065 in words is "one hundred thirty-three million, eight hundred twenty-five thousand, sixty-five".

Divisors: 1 3 5 11 15 33 55 165 181 543 905 1991 2715 4481 5973 9955 13443 22405 29865 49291 67215 147873 246455 739365 811061 2433183 4055305 8921671 12165915 26765013 44608355 133825065