135304630965504 has 1944 divisors, whose sum is σ = 557100855685920. Its totient is φ = 32439521157120.

The previous prime is 135304630965503. The next prime is 135304630965541. The reversal of 135304630965504 is 405569036403531.

135304630965504 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 0 + 46 + 3 + 0 + 96 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×135304630965504² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135304630965503) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4794791907 + ... + 4794820125.

Almost surely, 2^{135304630965504} is an apocalyptic number.

135304630965504 is a gapful number since it is divisible by the number (14) 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 135304630965504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278550427842960).

135304630965504 is an abundant number, since it is smaller than the sum of its proper divisors (421796224720416).

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

135304630965504 is a wasteful number, since it uses less digits than its factorization.

135304630965504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28299 (or 28255 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 54.

The spelling of 135304630965504 in words is "one hundred thirty-five trillion, three hundred four billion, six hundred thirty million, nine hundred sixty-five thousand, five hundred four".