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137792713 is a prime number
BaseRepresentation
bin10000011011010…
…00110011001001
3100121021121001211
420031220303021
5240233331323
621401213121
73262135012
oct1015506311
9317247054
10137792713
1170864783
123a1911a1
1322716766
141442c009
15c16c70d
hex8368cc9

137792713 has 2 divisors, whose sum is σ = 137792714. Its totient is φ = 137792712.

The previous prime is 137792689. The next prime is 137792749. The reversal of 137792713 is 317297731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134861769 + 2930944 = 11613^2 + 1712^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137792713 is a prime.

It is not a weakly prime, because it can be changed into another prime (137792783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68896356 + 68896357.

It is an arithmetic number, because the mean of its divisors is an integer number (68896357).

Almost surely, 2137792713 is an apocalyptic number.

It is an amenable number.

137792713 is a deficient number, since it is larger than the sum of its proper divisors (1).

137792713 is an equidigital number, since it uses as much as digits as its factorization.

137792713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 55566, while the sum is 40.

The square root of 137792713 is about 11738.5140882481. The cubic root of 137792713 is about 516.5060548754.

The spelling of 137792713 in words is "one hundred thirty-seven million, seven hundred ninety-two thousand, seven hundred thirteen".