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132707168 = 25111767331
BaseRepresentation
bin1111110100011…
…11001101100000
3100020201020000022
413322033031200
5232433112133
621100213012
73200664236
oct772171540
9306636008
10132707168
1168a00950
123853a168
1321655a69
14138a6956
15b9b5998
hex7e8f360

132707168 has 96 divisors (see below), whose sum is σ = 307214208. Its totient is φ = 55756800.

The previous prime is 132707167. The next prime is 132707189. The reversal of 132707168 is 861707231.

It is a super-2 number, since 2×1327071682 = 35222384877160448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132707167) 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, 400763 + ... + 401093.

It is an arithmetic number, because the mean of its divisors is an integer number (3200148).

Almost surely, 2132707168 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 132707168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153607104).

132707168 is an abundant number, since it is smaller than the sum of its proper divisors (174507040).

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

132707168 is a wasteful number, since it uses less digits than its factorization.

132707168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 132707168 is about 11519.8597213681. The cubic root of 132707168 is about 510.0719724134.

The spelling of 132707168 in words is "one hundred thirty-two million, seven hundred seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 67 68 88 134 136 176 187 268 272 331 352 374 536 544 662 737 748 1072 1139 1324 1474 1496 2144 2278 2648 2948 2992 3641 4556 5296 5627 5896 5984 7282 9112 10592 11254 11792 12529 14564 18224 22177 22508 23584 25058 29128 36448 44354 45016 50116 58256 61897 88708 90032 100232 116512 123794 177416 180064 200464 243947 247588 354832 377009 400928 487894 495176 709664 754018 975788 990352 1508036 1951576 1980704 3016072 3903152 4147099 6032144 7806304 8294198 12064288 16588396 33176792 66353584 132707168