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133720608 = 2537331131
BaseRepresentation
bin1111111100001…
…10101000100000
3100022121201012010
413332012220200
5233213024413
621134032520
73212415000
oct776065040
9308551163
10133720608
11695332aa
1238948740
132191c128
1413a8c000
15bb15dc3
hex7f86a20

133720608 has 192 divisors, whose sum is σ = 425779200. Its totient is φ = 36691200.

The previous prime is 133720607. The next prime is 133720633. The reversal of 133720608 is 806027331.

It is not an unprimeable number, because it can be changed into a prime (133720603) by changing a digit.

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, 1020703 + ... + 1020833.

It is an arithmetic number, because the mean of its divisors is an integer number (2217600).

Almost surely, 2133720608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133720608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212889600).

133720608 is an abundant number, since it is smaller than the sum of its proper divisors (292058592).

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

133720608 is a wasteful number, since it uses less digits than its factorization.

133720608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 133720608 is about 11563.7627094298. The cubic root of 133720608 is about 511.3670971988.

Adding to 133720608 its reverse (806027331), we get a palindrome (939747939).

It can be divided in two parts, 1337 and 20608, that added together give a triangular number (21945 = T209).

The spelling of 133720608 in words is "one hundred thirty-three million, seven hundred twenty thousand, six hundred eight".