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134075664 = 2432953977
BaseRepresentation
bin1111111110111…
…01010100010000
3100100021202020100
413333131110100
5233310410124
621145412400
73215424102
oct777352420
9310252210
10134075664
1169756038
1238a9a100
1321a14918
1413b41572
15bb861c9
hex7fdd510

134075664 has 60 divisors (see below), whose sum is σ = 376003836. Its totient is φ = 44599296.

The previous prime is 134075663. The next prime is 134075687. The reversal of 134075664 is 466570431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95883264 + 38192400 = 9792^2 + 6180^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134075663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136744 + ... + 137720.

Almost surely, 2134075664 is an apocalyptic number.

It is an amenable number.

134075664 is an abundant number, since it is smaller than the sum of its proper divisors (241928172).

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

134075664 is a wasteful number, since it uses less digits than its factorization.

134075664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 134075664 is about 11579.1046285972. The cubic root of 134075664 is about 511.8192925104.

The spelling of 134075664 in words is "one hundred thirty-four million, seventy-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 953 977 1906 1954 2859 2931 3812 3908 5718 5862 7624 7816 8577 8793 11436 11724 15248 15632 17154 17586 22872 23448 34308 35172 45744 46896 68616 70344 137232 140688 931081 1862162 2793243 3724324 5586486 7448648 8379729 11172972 14897296 16759458 22345944 33518916 44691888 67037832 134075664