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137350877 is a prime number
BaseRepresentation
bin10000010111111…
…00111011011101
3100120110010222112
420023330323131
5240130212002
621343523405
73255314606
oct1013747335
9316403875
10137350877
1170592824
1239bb9565
13225c0611
1414354dad
15c0d1852
hex82fcedd

137350877 has 2 divisors, whose sum is σ = 137350878. Its totient is φ = 137350876.

The previous prime is 137350853. The next prime is 137350883. The reversal of 137350877 is 778053731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130622041 + 6728836 = 11429^2 + 2594^2 .

It is a cyclic number.

It is not a de Polignac number, because 137350877 - 210 = 137349853 is a prime.

It is a super-3 number, since 3×1373508773 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137350847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68675438 + 68675439.

It is an arithmetic number, because the mean of its divisors is an integer number (68675439).

Almost surely, 2137350877 is an apocalyptic number.

It is an amenable number.

137350877 is a deficient number, since it is larger than the sum of its proper divisors (1).

137350877 is an equidigital number, since it uses as much as digits as its factorization.

137350877 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 123480, while the sum is 41.

The square root of 137350877 is about 11719.6790485064. The cubic root of 137350877 is about 515.9534002846.

The spelling of 137350877 in words is "one hundred thirty-seven million, three hundred fifty thousand, eight hundred seventy-seven".