135153715066969 has 9 divisors (see below), whose sum is σ = 137406392599359. Its totient is φ = 132937382859960.

The previous prime is 135153715066961. The next prime is 135153715066987. The reversal of 135153715066969 is 969660517351531.

The square root of 135153715066969 is 11625563.

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., 4394947466569 + 130758767600400 = 2096413^2 + 11434980^2 .

It is not a de Polignac number, because 135153715066969 - 2³ = 135153715066961 is a prime.

It is a super-2 number, since 2×135153715066969² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135153715066961) 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, 709064052 + ... + 709254634.

Almost surely, 2^{135153715066969} is an apocalyptic number.

135153715066969 is the 11625563-rd square number.

135153715066969 is the 5812782-nd centered octagonal number.

It is an amenable number.

135153715066969 is a deficient number, since it is larger than the sum of its proper divisors (2252677532390).

135153715066969 is an frugal number, since it uses more digits than its factorization.

135153715066969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381288 (or 190644 counting only the distinct ones).

The product of its (nonzero) digits is 137781000, while the sum is 67.

The spelling of 135153715066969 in words is "one hundred thirty-five trillion, one hundred fifty-three billion, seven hundred fifteen million, sixty-six thousand, nine hundred sixty-nine".