135217711072272 has 40 divisors (see below), whose sum is σ = 352403680640544. Its totient is φ = 44673698051584.

The previous prime is 135217711072247. The next prime is 135217711072273. The reversal of 135217711072272 is 272270117712531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (135217711072273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12464754078 + ... + 12464764925.

Almost surely, 2^{135217711072272} is an apocalyptic number.

135217711072272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135217711072272 is an abundant number, since it is smaller than the sum of its proper divisors (217185969568272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135217711072272 is a wasteful number, since it uses less digits than its factorization.

135217711072272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24929519127 (or 24929519121 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 48.

The spelling of 135217711072272 in words is "one hundred thirty-five trillion, two hundred seventeen billion, seven hundred eleven million, seventy-two thousand, two hundred seventy-two".