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137604713 is a prime number
BaseRepresentation
bin10000011001110…
…10111001101001
3100120221001011212
420030322321221
5240211322323
621353202505
73260422631
oct1014727151
9316831155
10137604713
1170746504
123a100435
132267c00c
14143bd6c1
15c131b78
hex833ae69

137604713 has 2 divisors, whose sum is σ = 137604714. Its totient is φ = 137604712.

The previous prime is 137604703. The next prime is 137604721. The reversal of 137604713 is 317406731.

137604713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135303424 + 2301289 = 11632^2 + 1517^2 .

It is a cyclic number.

It is not a de Polignac number, because 137604713 - 28 = 137604457 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137604713.

It is not a weakly prime, because it can be changed into another prime (137604703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68802356 + 68802357.

It is an arithmetic number, because the mean of its divisors is an integer number (68802357).

Almost surely, 2137604713 is an apocalyptic number.

It is an amenable number.

137604713 is a deficient number, since it is larger than the sum of its proper divisors (1).

137604713 is an equidigital number, since it uses as much as digits as its factorization.

137604713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 137604713 is about 11730.5035271296. The cubic root of 137604713 is about 516.2710464796.

The spelling of 137604713 in words is "one hundred thirty-seven million, six hundred four thousand, seven hundred thirteen".