Search a number
-
+
153077137 is a prime number
BaseRepresentation
bin10010001111111…
…00010110010001
3101200001010100121
421013330112101
5303141432022
623104550241
73536064013
oct1107742621
9350033317
10153077137
1179454134
1243322381
13259386b5
141648a1b3
15d68b2c7
hex91fc591

153077137 has 2 divisors, whose sum is σ = 153077138. Its totient is φ = 153077136.

The previous prime is 153077107. The next prime is 153077159. The reversal of 153077137 is 731770351.

It is a happy number.

153077137 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., 91987281 + 61089856 = 9591^2 + 7816^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-153077137 is a prime.

It is not a weakly prime, because it can be changed into another prime (153077107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76538568 + 76538569.

It is an arithmetic number, because the mean of its divisors is an integer number (76538569).

Almost surely, 2153077137 is an apocalyptic number.

It is an amenable number.

153077137 is a deficient number, since it is larger than the sum of its proper divisors (1).

153077137 is an equidigital number, since it uses as much as digits as its factorization.

153077137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15435, while the sum is 34.

The square root of 153077137 is about 12372.4345623648. The cubic root of 153077137 is about 534.9379926388.

The spelling of 153077137 in words is "one hundred fifty-three million, seventy-seven thousand, one hundred thirty-seven".