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137295973 is a prime number
BaseRepresentation
bin10000010111011…
…11100001100101
3100120100100200001
420023233201211
5240121432343
621342421301
73254665543
oct1013574145
9316310601
10137295973
1170555551
1239b91831
13225a1629
141433cd93
15c0c044d
hex82ef865

137295973 has 2 divisors, whose sum is σ = 137295974. Its totient is φ = 137295972.

The previous prime is 137295967. The next prime is 137295979. The reversal of 137295973 is 379592731.

137295973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (137295967) and next prime (137295979).

It can be written as a sum of positive squares in only one way, i.e., 72284004 + 65011969 = 8502^2 + 8063^2 .

It is a cyclic number.

It is not a de Polignac number, because 137295973 - 25 = 137295941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137295979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68647986 + 68647987.

It is an arithmetic number, because the mean of its divisors is an integer number (68647987).

Almost surely, 2137295973 is an apocalyptic number.

It is an amenable number.

137295973 is a deficient number, since it is larger than the sum of its proper divisors (1).

137295973 is an equidigital number, since it uses as much as digits as its factorization.

137295973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 357210, while the sum is 46.

The square root of 137295973 is about 11717.3364294109. The cubic root of 137295973 is about 515.8846428523.

The spelling of 137295973 in words is "one hundred thirty-seven million, two hundred ninety-five thousand, nine hundred seventy-three".