135069881760 has 576 divisors, whose sum is σ = 531787576320. Its totient is φ = 30910464000.

The previous prime is 135069881753. The next prime is 135069881761. The reversal of 135069881760 is 67188960531.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 135069881697 and 135069881706.

It is not an unprimeable number, because it can be changed into a prime (135069881761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20129286 + ... + 20135994.

It is an arithmetic number, because the mean of its divisors is an integer number (923242320).

Almost surely, 2^135069881760 is an apocalyptic number.

135069881760 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 135069881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265893788160).

135069881760 is an abundant number, since it is smaller than the sum of its proper divisors (396717694560).

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

135069881760 is a wasteful number, since it uses less digits than its factorization.

135069881760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6813 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 135069881760 in words is "one hundred thirty-five billion, sixty-nine million, eight hundred eighty-one thousand, seven hundred sixty".