135817848412920 has 256 divisors, whose sum is σ = 500198727168000. Its totient is φ = 32605546457088.

The previous prime is 135817848412919. The next prime is 135817848412999. The reversal of 135817848412920 is 29214848718531.

135817848412920 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 1 + 7 + 8 + 484 + 129 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160392640 + ... + 161237199.

It is an arithmetic number, because the mean of its divisors is an integer number (1953901278000).

Almost surely, 2^{135817848412920} is an apocalyptic number.

135817848412920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135817848412920 is an abundant number, since it is smaller than the sum of its proper divisors (364380878755080).

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

135817848412920 is a wasteful number, since it uses less digits than its factorization.

135817848412920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321629899 (or 321629889 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 135817848412920 in words is "one hundred thirty-five trillion, eight hundred seventeen billion, eight hundred forty-eight million, four hundred twelve thousand, nine hundred twenty".