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137458213 is a prime number
BaseRepresentation
bin10000011000101…
…11001000100101
3100120122121012221
420030113020211
5240142130323
621350112341
73256242544
oct1014271045
9316577187
10137458213
1170656432
123a04b6b1
132262a429
141438215b
15c10355d
hex8317225

137458213 has 2 divisors, whose sum is σ = 137458214. Its totient is φ = 137458212.

The previous prime is 137458177. The next prime is 137458241. The reversal of 137458213 is 312854731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137311524 + 146689 = 11718^2 + 383^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137458213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137458253) 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, 68729106 + 68729107.

It is an arithmetic number, because the mean of its divisors is an integer number (68729107).

Almost surely, 2137458213 is an apocalyptic number.

It is an amenable number.

137458213 is a deficient number, since it is larger than the sum of its proper divisors (1).

137458213 is an equidigital number, since it uses as much as digits as its factorization.

137458213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 34.

The square root of 137458213 is about 11724.2574604962. The cubic root of 137458213 is about 516.0877665043.

The spelling of 137458213 in words is "one hundred thirty-seven million, four hundred fifty-eight thousand, two hundred thirteen".