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137275121 is a prime number
BaseRepresentation
bin10000010111010…
…10011011110001
3100120022022001202
420023222123301
5240120300441
621342140545
73254551004
oct1013523361
9316268052
10137275121
1170540915
1239b81755
1322594ca9
141433553b
15c0b919b
hex82ea6f1

137275121 has 2 divisors, whose sum is σ = 137275122. Its totient is φ = 137275120.

The previous prime is 137275097. The next prime is 137275129. The reversal of 137275121 is 121572731.

137275121 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., 108972721 + 28302400 = 10439^2 + 5320^2 .

It is a cyclic number.

It is not a de Polignac number, because 137275121 - 222 = 133080817 is a prime.

It is not a weakly prime, because it can be changed into another prime (137275129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68637560 + 68637561.

It is an arithmetic number, because the mean of its divisors is an integer number (68637561).

Almost surely, 2137275121 is an apocalyptic number.

It is an amenable number.

137275121 is a deficient number, since it is larger than the sum of its proper divisors (1).

137275121 is an equidigital number, since it uses as much as digits as its factorization.

137275121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2940, while the sum is 29.

The square root of 137275121 is about 11716.4466029594. The cubic root of 137275121 is about 515.8585246519.

The spelling of 137275121 in words is "one hundred thirty-seven million, two hundred seventy-five thousand, one hundred twenty-one".