135885959489280 has 3456 divisors, whose sum is σ = 603668235534336. Its totient is φ = 25604967628800.

The previous prime is 135885959489251. The next prime is 135885959489321. The reversal of 135885959489280 is 82984959588531.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 135885959489193 and 135885959489202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 704072328864 + ... + 704072329056.

It is an arithmetic number, because the mean of its divisors is an integer number (174672521856).

Almost surely, 2^{135885959489280} is an apocalyptic number.

135885959489280 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 135885959489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301834117767168).

135885959489280 is an abundant number, since it is smaller than the sum of its proper divisors (467782276045056).

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

135885959489280 is a wasteful number, since it uses less digits than its factorization.

135885959489280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 8957952000, while the sum is 84.

The spelling of 135885959489280 in words is "one hundred thirty-five trillion, eight hundred eighty-five billion, nine hundred fifty-nine million, four hundred eighty-nine thousand, two hundred eighty".