135311082480 has 960 divisors, whose sum is σ = 592594928640. Its totient is φ = 26921631744.

The previous prime is 135311082457. The next prime is 135311082493. The reversal of 135311082480 is 84280113531.

135311082480 is a `hidden beast` number, since 1 + 3 + 531 + 1 + 0 + 82 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 69999594 + ... + 70001526.

It is an arithmetic number, because the mean of its divisors is an integer number (617286384).

Almost surely, 2^135311082480 is an apocalyptic number.

135311082480 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 135311082480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296297464320).

135311082480 is an abundant number, since it is smaller than the sum of its proper divisors (457283846160).

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

135311082480 is a wasteful number, since it uses less digits than its factorization.

135311082480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 135311082480 in words is "one hundred thirty-five billion, three hundred eleven million, eighty-two thousand, four hundred eighty".