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137677153 is a prime number
BaseRepresentation
bin10000011010011…
…00100101100001
3100121001201112211
420031030211201
5240221132103
621354522121
73261144055
oct1015144541
9317051484
10137677153
1170795979
123a136341
13226a5c93
14143dbc65
15c14836d
hex834c961

137677153 has 2 divisors, whose sum is σ = 137677154. Its totient is φ = 137677152.

The previous prime is 137677151. The next prime is 137677219. The reversal of 137677153 is 351776731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 66308449 = 8448^2 + 8143^2 .

It is a cyclic number.

It is not a de Polignac number, because 137677153 - 21 = 137677151 is a prime.

Together with 137677151, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (137677151) 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 as a sum of consecutive naturals, namely, 68838576 + 68838577.

It is an arithmetic number, because the mean of its divisors is an integer number (68838577).

Almost surely, 2137677153 is an apocalyptic number.

It is an amenable number.

137677153 is a deficient number, since it is larger than the sum of its proper divisors (1).

137677153 is an equidigital number, since it uses as much as digits as its factorization.

137677153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 92610, while the sum is 40.

The square root of 137677153 is about 11733.5907973646. The cubic root of 137677153 is about 516.3616250483.

The spelling of 137677153 in words is "one hundred thirty-seven million, six hundred seventy-seven thousand, one hundred fifty-three".