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137786729 is a prime number
BaseRepresentation
bin10000011011001…
…11010101101001
3100121021021212012
420031213111221
5240233133404
621401125305
73262111403
oct1015472551
9317237765
10137786729
1170860233
123a189835
1322713b12
1414429b73
15c16aa6e
hex8367569

137786729 has 2 divisors, whose sum is σ = 137786730. Its totient is φ = 137786728.

The previous prime is 137786641. The next prime is 137786741. The reversal of 137786729 is 927687731.

137786729 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., 74425129 + 63361600 = 8627^2 + 7960^2 .

It is a cyclic number.

It is not a de Polignac number, because 137786729 - 216 = 137721193 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137786029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68893364 + 68893365.

It is an arithmetic number, because the mean of its divisors is an integer number (68893365).

Almost surely, 2137786729 is an apocalyptic number.

It is an amenable number.

137786729 is a deficient number, since it is larger than the sum of its proper divisors (1).

137786729 is an equidigital number, since it uses as much as digits as its factorization.

137786729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 889056, while the sum is 50.

The square root of 137786729 is about 11738.2591980242. The cubic root of 137786729 is about 516.4985779029.

The spelling of 137786729 in words is "one hundred thirty-seven million, seven hundred eighty-six thousand, seven hundred twenty-nine".