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133166985 = 35729101433
BaseRepresentation
bin1111110111111…
…11011110001001
3100021120120202120
413323333132021
5233042320420
621114121453
73204620640
oct773773611
9307516676
10133166985
1169195366
1238720289
1321787143
1413986357
15ba56d40
hex7eff789

133166985 has 64 divisors (see below), whose sum is σ = 254983680. Its totient is φ = 58060800.

The previous prime is 133166977. The next prime is 133167007. The reversal of 133166985 is 589661331.

It is a happy number.

It is not a de Polignac number, because 133166985 - 23 = 133166977 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307329 + ... + 307761.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2133166985 is an apocalyptic number.

133166985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133166985 is a deficient number, since it is larger than the sum of its proper divisors (121816695).

133166985 is a wasteful number, since it uses less digits than its factorization.

133166985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578.

The product of its digits is 116640, while the sum is 42.

The square root of 133166985 is about 11539.8000415952. The cubic root of 133166985 is about 510.6604093515.

It can be divided in two parts, 13316 and 6985, that added together give a triangular number (20301 = T201).

The spelling of 133166985 in words is "one hundred thirty-three million, one hundred sixty-six thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 15 21 29 35 87 101 105 145 203 303 433 435 505 609 707 1015 1299 1515 2121 2165 2929 3031 3045 3535 6495 8787 9093 10605 12557 14645 15155 20503 37671 43733 43935 45465 61509 62785 87899 102515 131199 188355 218665 263697 306131 307545 439495 655995 918393 1268257 1318485 1530655 3804771 4591965 6341285 8877799 19023855 26633397 44388995 133166985