135488501280 has 1152 divisors, whose sum is σ = 561781785600. Its totient is φ = 30364139520.

The previous prime is 135488501273. The next prime is 135488501299. The reversal of 135488501280 is 82105884531.

135488501280 is a `hidden beast` number, since 1 + 3 + 548 + 85 + 0 + 1 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 702012864 + ... + 702013056.

It is an arithmetic number, because the mean of its divisors is an integer number (487657800).

Almost surely, 2^135488501280 is an apocalyptic number.

135488501280 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 135488501280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280890892800).

135488501280 is an abundant number, since it is smaller than the sum of its proper divisors (426293284320).

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

135488501280 is a wasteful number, since it uses less digits than its factorization.

135488501280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 135488501280 in words is "one hundred thirty-five billion, four hundred eighty-eight million, five hundred one thousand, two hundred eighty".