135307121 has 2 divisors, whose sum is σ = 135307122. Its totient is φ = 135307120.

The previous prime is 135307099. The next prime is 135307141. The reversal of 135307121 is 121703531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80013025 + 55294096 = 8945^2 + 7436^2 .

It is a cyclic number.

It is not a de Polignac number, because 135307121 - 2⁶ = 135307057 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (135307141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67653560 + 67653561.

It is an arithmetic number, because the mean of its divisors is an integer number (67653561).

Almost surely, 2^135307121 is an apocalyptic number.

It is an amenable number.

135307121 is a deficient number, since it is larger than the sum of its proper divisors (1).

135307121 is an equidigital number, since it uses as much as digits as its factorization.

135307121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 135307121 is about 11632.1589139764. The cubic root of 135307121 is about 513.3815038378.

It can be divided in two parts, 1353071 and 21, that multiplied together give a triangular number (28414491 = T₇₅₃₈).

The spelling of 135307121 in words is "one hundred thirty-five million, three hundred seven thousand, one hundred twenty-one".