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137148049 is a prime number
BaseRepresentation
bin10000010110010…
…11011010010001
3100120001211202101
420023023122101
5240102214144
621335320401
73253511353
oct1013133221
9316054671
10137148049
11704643a5
1239b20101
132254c1bc
14143010d3
15c0916d4
hex82cb691

137148049 has 2 divisors, whose sum is σ = 137148050. Its totient is φ = 137148048.

The previous prime is 137148041. The next prime is 137148071. The reversal of 137148049 is 940841731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120297024 + 16851025 = 10968^2 + 4105^2 .

It is a cyclic number.

It is not a de Polignac number, because 137148049 - 23 = 137148041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137147999 and 137148017.

It is not a weakly prime, because it can be changed into another prime (137148041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68574024 + 68574025.

It is an arithmetic number, because the mean of its divisors is an integer number (68574025).

Almost surely, 2137148049 is an apocalyptic number.

It is an amenable number.

137148049 is a deficient number, since it is larger than the sum of its proper divisors (1).

137148049 is an equidigital number, since it uses as much as digits as its factorization.

137148049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 137148049 is about 11711.0225428867. The cubic root of 137148049 is about 515.6993032511.

The spelling of 137148049 in words is "one hundred thirty-seven million, one hundred forty-eight thousand, forty-nine".