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133245952 = 210729641
BaseRepresentation
bin1111111000100…
…10110000000000
3100021201121002021
413330102300000
5233102332302
621115531224
73205400110
oct774226000
9307647067
10133245952
1169239724
1238759b14
13217b4078
14139a7040
15ba70437
hex7f12c00

133245952 has 88 divisors (see below), whose sum is σ = 315401760. Its totient is φ = 55050240.

The previous prime is 133245947. The next prime is 133245953. The reversal of 133245952 is 259542331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133245953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207552 + ... + 208192.

Almost surely, 2133245952 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 133245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157700880).

133245952 is an abundant number, since it is smaller than the sum of its proper divisors (182155808).

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

133245952 is an equidigital number, since it uses as much as digits as its factorization.

133245952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 679 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The square root of 133245952 is about 11543.2210409400. The cubic root of 133245952 is about 510.7613286404.

The spelling of 133245952 in words is "one hundred thirty-three million, two hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 512 641 812 896 928 1024 1282 1624 1792 1856 2564 3248 3584 3712 4487 5128 6496 7168 7424 8974 10256 12992 14848 17948 18589 20512 25984 29696 35896 37178 41024 51968 71792 74356 82048 103936 130123 143584 148712 164096 207872 260246 287168 297424 328192 520492 574336 594848 656384 1040984 1148672 1189696 2081968 2297344 2379392 4163936 4594688 4758784 8327872 9517568 16655744 19035136 33311488 66622976 133245952