135605604420000 has 1440 divisors, whose sum is σ = 599429757326400. Its totient is φ = 28560199680000.

The previous prime is 135605604419977. The next prime is 135605604420023. The reversal of 135605604420000 is 24406506531.

135605604420000 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 0 + 5 + 604 + 42 + 0 + 0 + 0 + 0 = 666.

135605604420000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135605604419977) and next prime (135605604420023).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×135605604420000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 437425051 + ... + 437734949.

It is an arithmetic number, because the mean of its divisors is an integer number (416270664810).

Almost surely, 2^{135605604420000} is an apocalyptic number.

135605604420000 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 135605604420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299714878663200).

135605604420000 is an abundant number, since it is smaller than the sum of its proper divisors (463824152906400).

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

135605604420000 is a wasteful number, since it uses less digits than its factorization.

135605604420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309976 (or 309950 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 135605604420000 in words is "one hundred thirty-five trillion, six hundred five billion, six hundred four million, four hundred twenty thousand".