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133082775 = 32527212071
BaseRepresentation
bin1111110111010…
…10111010010111
3100021102022020200
413323222322113
5233032122100
621112231543
73204120300
oct773527227
9307368220
10133082775
1169138071
123869b5b3
1321757a07
14139637a7
15ba3be00
hex7eeae97

133082775 has 54 divisors (see below), whose sum is σ = 277305912. Its totient is φ = 60832800.

The previous prime is 133082771. The next prime is 133082779. The reversal of 133082775 is 577280331.

It is an interprime number because it is at equal distance from previous prime (133082771) and next prime (133082779).

It is not a de Polignac number, because 133082775 - 22 = 133082771 is a prime.

It is a super-2 number, since 2×1330827752 = 35422050003401250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133082771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4990 + ... + 17060.

Almost surely, 2133082775 is an apocalyptic number.

133082775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133082775 is an abundant number, since it is smaller than the sum of its proper divisors (144223137).

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

133082775 is a wasteful number, since it uses less digits than its factorization.

133082775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12101 (or 12086 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 133082775 is about 11536.1507878495. The cubic root of 133082775 is about 510.5527455771.

The spelling of 133082775 in words is "one hundred thirty-three million, eighty-two thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 12071 36213 60355 84497 108639 181065 253491 301775 422485 543195 591479 760473 905325 1267455 1774437 2112425 2715975 2957395 3802365 5323311 6337275 8872185 14786975 19011825 26616555 44360925 133082775