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137746913 is a prime number
BaseRepresentation
bin10000011010111…
…01100111100001
3100121012021020112
420031131213201
5240230400123
621400221105
73261554333
oct1015354741
9317167215
10137746913
1170833327
123a16a795
13226cb965
1414419453
15c15dd78
hex835d9e1

137746913 has 2 divisors, whose sum is σ = 137746914. Its totient is φ = 137746912.

The previous prime is 137746901. The next prime is 137746927. The reversal of 137746913 is 319647731.

137746913 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136025569 + 1721344 = 11663^2 + 1312^2 .

It is a cyclic number.

It is not a de Polignac number, because 137746913 - 210 = 137745889 is a prime.

It is not a weakly prime, because it can be changed into another prime (137746943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68873456 + 68873457.

It is an arithmetic number, because the mean of its divisors is an integer number (68873457).

Almost surely, 2137746913 is an apocalyptic number.

It is an amenable number.

137746913 is a deficient number, since it is larger than the sum of its proper divisors (1).

137746913 is an equidigital number, since it uses as much as digits as its factorization.

137746913 is an evil number, because the sum of its binary digits is even.

The product of its digits is 95256, while the sum is 41.

The square root of 137746913 is about 11736.5630829472. The cubic root of 137746913 is about 516.4488225341.

The spelling of 137746913 in words is "one hundred thirty-seven million, seven hundred forty-six thousand, nine hundred thirteen".