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133468153 = 7136432281
BaseRepresentation
bin1111111010010…
…00111111111001
3100022010212212221
413331020333321
5233131440103
621124404041
73210313660
oct775107771
9308125787
10133468153
1169380665
1238846621
1321861250
1413a23dd7
15bab61bd
hex7f48ff9

133468153 has 16 divisors (see below), whose sum is σ = 164596096. Its totient is φ = 105390720.

The previous prime is 133468147. The next prime is 133468157. The reversal of 133468153 is 351864331.

It is a cyclic number.

It is not a de Polignac number, because 133468153 - 29 = 133467641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133468157) 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 15 ways as a sum of consecutive naturals, for example, 57373 + ... + 59653.

It is an arithmetic number, because the mean of its divisors is an integer number (10287256).

Almost surely, 2133468153 is an apocalyptic number.

133468153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133468153 is a deficient number, since it is larger than the sum of its proper divisors (31127943).

133468153 is a wasteful number, since it uses less digits than its factorization.

133468153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944.

The product of its digits is 25920, while the sum is 34.

The square root of 133468153 is about 11552.8417716162. The cubic root of 133468153 is about 511.0450862291.

The spelling of 133468153 in words is "one hundred thirty-three million, four hundred sixty-eight thousand, one hundred fifty-three".

Divisors: 1 7 13 91 643 2281 4501 8359 15967 29653 58513 207571 1466683 10266781 19066879 133468153