135217244607025 has 81 divisors (see below), whose sum is σ = 197312961918051. Its totient is φ = 91654035137280.

The previous prime is 135217244607017. The next prime is 135217244607043. The reversal of 135217244607025 is 520706442712531.

It is a happy number.

The square root of 135217244607025 is 11628295.

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

It can be written as a sum of positive squares in 13 ways, for example, as 118401405700081 + 16815838906944 = 10881241^2 + 4100712^2 .

It is not a de Polignac number, because 135217244607025 - 2³ = 135217244607017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 135217244607025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36222137059 + ... + 36222140791.

Almost surely, 2^{135217244607025} is an apocalyptic number.

135217244607025 is the 11628295-th square number.

135217244607025 is the 5814148-th centered octagonal number.

It is an amenable number.

135217244607025 is a deficient number, since it is larger than the sum of its proper divisors (62095717311026).

135217244607025 is an frugal number, since it uses more digits than its factorization.

135217244607025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

135217244607025 divided by its sum of digits (49) gives a square (2759535604225 = 1661185²).

The spelling of 135217244607025 in words is "one hundred thirty-five trillion, two hundred seventeen billion, two hundred forty-four million, six hundred seven thousand, twenty-five".