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133275648 = 2133111729
BaseRepresentation
bin1111111000110…
…10000000000000
3100021210002211010
413330122000000
5233104310043
621120320520
73205552512
oct774320000
9307702733
10133275648
1169259a70
1238773140
13217c473c
14139b3bb2
15ba79133
hex7f1a000

133275648 has 224 divisors, whose sum is σ = 424647360. Its totient is φ = 36700160.

The previous prime is 133275641. The next prime is 133275719. The reversal of 133275648 is 846572331.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (133275641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4595698 + ... + 4595726.

Almost surely, 2133275648 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 133275648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212323680).

133275648 is an abundant number, since it is smaller than the sum of its proper divisors (291371712).

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

133275648 is a wasteful number, since it uses less digits than its factorization.

133275648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 62 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 133275648 is about 11544.5072653622. The cubic root of 133275648 is about 510.7992696099.

The spelling of 133275648 in words is "one hundred thirty-three million, two hundred seventy-five thousand, six hundred forty-eight".