135217427345 has 128 divisors (see below), whose sum is σ = 225498857472. Its totient is φ = 75093350400.

The previous prime is 135217427339. The next prime is 135217427351. The reversal of 135217427345 is 543724712531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135217427339) and next prime (135217427351).

It is not a de Polignac number, because 135217427345 - 2¹² = 135217423249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135217427296 and 135217427305.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70904882 + ... + 70906788.

It is an arithmetic number, because the mean of its divisors is an integer number (1761709824).

Almost surely, 2^135217427345 is an apocalyptic number.

It is an amenable number.

135217427345 is a deficient number, since it is larger than the sum of its proper divisors (90281430127).

135217427345 is a wasteful number, since it uses less digits than its factorization.

135217427345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431.

The product of its digits is 705600, while the sum is 44.

The spelling of 135217427345 in words is "one hundred thirty-five billion, two hundred seventeen million, four hundred twenty-seven thousand, three hundred forty-five".