135294360960 has 1024 divisors, whose sum is σ = 525383884800. Its totient is φ = 29228728320.

The previous prime is 135294360953. The next prime is 135294360967. The reversal of 135294360960 is 69063492531.

It is an interprime number because it is at equal distance from previous prime (135294360953) and next prime (135294360967).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135294360967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 987550012 + ... + 987550148.

It is an arithmetic number, because the mean of its divisors is an integer number (513070200).

Almost surely, 2^135294360960 is an apocalyptic number.

135294360960 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 135294360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262691942400).

135294360960 is an abundant number, since it is smaller than the sum of its proper divisors (390089523840).

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

135294360960 is a wasteful number, since it uses less digits than its factorization.

135294360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 135294360960 in words is "one hundred thirty-five billion, two hundred ninety-four million, three hundred sixty thousand, nine hundred sixty".