135953725138224 has 80 divisors (see below), whose sum is σ = 401656758274560. Its totient is φ = 38817834071040.

The previous prime is 135953725138223. The next prime is 135953725138349. The reversal of 135953725138224 is 422831527359531.

It is a happy number.

135953725138224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (135953725138223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135370812 + ... + 136371419.

It is an arithmetic number, because the mean of its divisors is an integer number (5020709478432).

Almost surely, 2^{135953725138224} is an apocalyptic number.

135953725138224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135953725138224 is an abundant number, since it is smaller than the sum of its proper divisors (265703033136336).

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

135953725138224 is a wasteful number, since it uses less digits than its factorization.

135953725138224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271743738 (or 271743732 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 60.

The spelling of 135953725138224 in words is "one hundred thirty-five trillion, nine hundred fifty-three billion, seven hundred twenty-five million, one hundred thirty-eight thousand, two hundred twenty-four".