135730116480 has 256 divisors, whose sum is σ = 495360437760. Its totient is φ = 30966620160.

The previous prime is 135730116469. The next prime is 135730116481. The reversal of 135730116480 is 84611037531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135730116481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7477015 + ... + 7495145.

It is an arithmetic number, because the mean of its divisors is an integer number (1935001710).

Almost surely, 2^135730116480 is an apocalyptic number.

135730116480 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 135730116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247680218880).

135730116480 is an abundant number, since it is smaller than the sum of its proper divisors (359630321280).

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

135730116480 is a wasteful number, since it uses less digits than its factorization.

135730116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18717 (or 18705 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 135730116480 in words is "one hundred thirty-five billion, seven hundred thirty million, one hundred sixteen thousand, four hundred eighty".