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137632314 = 231910311171
BaseRepresentation
bin10000011010000…
…01101000111010
3100120222110001010
420031001220322
5240213213224
621353534350
73260566251
oct1015015072
9316873033
10137632314
1170765216
123a1143b6
132268b751
14143c9798
15c139e29
hex8341a3a

137632314 has 32 divisors (see below), whose sum is σ = 290280960. Its totient is φ = 43383600.

The previous prime is 137632303. The next prime is 137632337. The reversal of 137632314 is 413236731.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 116949 + ... + 118119.

It is an arithmetic number, because the mean of its divisors is an integer number (9071280).

Almost surely, 2137632314 is an apocalyptic number.

137632314 is an abundant number, since it is smaller than the sum of its proper divisors (152648646).

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

137632314 is a wasteful number, since it uses less digits than its factorization.

137632314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226.

The product of its digits is 9072, while the sum is 30.

The square root of 137632314 is about 11731.6799308539. The cubic root of 137632314 is about 516.3055623626.

The spelling of 137632314 in words is "one hundred thirty-seven million, six hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 19 38 57 114 1031 1171 2062 2342 3093 3513 6186 7026 19589 22249 39178 44498 58767 66747 117534 133494 1207301 2414602 3621903 7243806 22938719 45877438 68816157 137632314