135468665172 has 72 divisors (see below), whose sum is σ = 358336165824. Its totient is φ = 43070455296.

The previous prime is 135468665159. The next prime is 135468665173. The reversal of 135468665172 is 271566864531.

It is a happy number.

135468665172 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 68 + 66 + 517 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135468665173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60543 + ... + 524025.

It is an arithmetic number, because the mean of its divisors is an integer number (4976891192).

Almost surely, 2^135468665172 is an apocalyptic number.

135468665172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135468665172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179168082912).

135468665172 is an abundant number, since it is smaller than the sum of its proper divisors (222867500652).

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

135468665172 is a wasteful number, since it uses less digits than its factorization.

135468665172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463869 (or 463864 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 135468665172 in words is "one hundred thirty-five billion, four hundred sixty-eight million, six hundred sixty-five thousand, one hundred seventy-two".