135420462540660 has 384 divisors, whose sum is σ = 435212423331840. Its totient is φ = 31141728217600.

The previous prime is 135420462540647. The next prime is 135420462540673. The reversal of 135420462540660 is 66045264024531.

It is an interprime number because it is at equal distance from previous prime (135420462540647) and next prime (135420462540673).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3147900631 + ... + 3147943649.

It is an arithmetic number, because the mean of its divisors is an integer number (1133365685760).

Almost surely, 2^{135420462540660} is an apocalyptic number.

135420462540660 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 135420462540660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217606211665920).

135420462540660 is an abundant number, since it is smaller than the sum of its proper divisors (299791960791180).

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

135420462540660 is a wasteful number, since it uses less digits than its factorization.

135420462540660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44779 (or 44777 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 135420462540660 in words is "one hundred thirty-five trillion, four hundred twenty billion, four hundred sixty-two million, five hundred forty thousand, six hundred sixty".