135169401937920 has 896 divisors, whose sum is σ = 532436071219200. Its totient is φ = 28599126589440.

The previous prime is 135169401937907. The next prime is 135169401937957. The reversal of 135169401937920 is 29739104961531.

135169401937920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 613183881 + ... + 613404279.

Almost surely, 2^{135169401937920} is an apocalyptic number.

135169401937920 is a gapful number since it is divisible by the number (10) 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 135169401937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266218035609600).

135169401937920 is an abundant number, since it is smaller than the sum of its proper divisors (397266669281280).

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

135169401937920 is a wasteful number, since it uses less digits than its factorization.

135169401937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220494 (or 220470 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 60.

The spelling of 135169401937920 in words is "one hundred thirty-five trillion, one hundred sixty-nine billion, four hundred one million, nine hundred thirty-seven thousand, nine hundred twenty".