135505425332520 has 512 divisors, whose sum is σ = 464328365760000. Its totient is φ = 35137848066048.

The previous prime is 135505425332447. The next prime is 135505425332549. The reversal of 135505425332520 is 25233524505531.

135505425332520 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 0 + 5 + 42 + 53 + 32 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3664964754 + ... + 3665001726.

It is an arithmetic number, because the mean of its divisors is an integer number (906891339375).

Almost surely, 2^{135505425332520} is an apocalyptic number.

135505425332520 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 135505425332520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232164182880000).

135505425332520 is an abundant number, since it is smaller than the sum of its proper divisors (328822940427480).

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

135505425332520 is a wasteful number, since it uses less digits than its factorization.

135505425332520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37674 (or 37664 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 45.

The spelling of 135505425332520 in words is "one hundred thirty-five trillion, five hundred five billion, four hundred twenty-five million, three hundred thirty-two thousand, five hundred twenty".