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137627627 is a prime number
BaseRepresentation
bin10000011010000…
…00011111101011
3100120222012121112
420031000133223
5240213041002
621353500535
73260546504
oct1015003753
9316865545
10137627627
1170761745
123a11174b
1322689587
14143c7bab
15c138852
hex83407eb

137627627 has 2 divisors, whose sum is σ = 137627628. Its totient is φ = 137627626.

The previous prime is 137627617. The next prime is 137627641. The reversal of 137627627 is 726726731.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137627627 is a prime.

It is a super-2 number, since 2×1376276272 = 37882727427302258, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137627617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68813813 + 68813814.

It is an arithmetic number, because the mean of its divisors is an integer number (68813814).

Almost surely, 2137627627 is an apocalyptic number.

137627627 is a deficient number, since it is larger than the sum of its proper divisors (1).

137627627 is an equidigital number, since it uses as much as digits as its factorization.

137627627 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 148176, while the sum is 41.

The square root of 137627627 is about 11731.4801708906. The cubic root of 137627627 is about 516.2997014530.

The spelling of 137627627 in words is "one hundred thirty-seven million, six hundred twenty-seven thousand, six hundred twenty-seven".