135370223186641 has 9 divisors (see below), whose sum is σ = 135459533149339. Its totient is φ = 135280972091200.

The previous prime is 135370223186599. The next prime is 135370223186707. The reversal of 135370223186641 is 146681322073531.

The square root of 135370223186641 is 11634871.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 51295261009041 + 84074962177600 = 7162071^2 + 9169240^2 .

It is not a de Polignac number, because 135370223186641 - 2²¹ = 135370221089489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135370223186741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24212163756 + ... + 24212169346.

Almost surely, 2^{135370223186641} is an apocalyptic number.

135370223186641 is the 11634871-st square number.

135370223186641 is the 5817436-th centered octagonal number.

It is an amenable number.

135370223186641 is a deficient number, since it is larger than the sum of its proper divisors (89309962698).

135370223186641 is an frugal number, since it uses more digits than its factorization.

135370223186641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15344 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 135370223186641 in words is "one hundred thirty-five trillion, three hundred seventy billion, two hundred twenty-three million, one hundred eighty-six thousand, six hundred forty-one".