135204535504000 has 128 divisors (see below), whose sum is σ = 338009478534000. Its totient is φ = 53783018496000.

The previous prime is 135204535503971. The next prime is 135204535504013. The reversal of 135204535504000 is 405535402531.

It can be written as a sum of positive squares in 8 ways, for example, as 10337195584 + 135194198308416 = 101672^2 + 11627304^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20447325 + ... + 26239324.

Almost surely, 2^{135204535504000} is an apocalyptic number.

135204535504000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135204535504000 is an abundant number, since it is smaller than the sum of its proper divisors (202804943030000).

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

135204535504000 is an equidigital number, since it uses as much as digits as its factorization.

135204535504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46686859 (or 46686837 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 37.

The spelling of 135204535504000 in words is "one hundred thirty-five trillion, two hundred four billion, five hundred thirty-five million, five hundred four thousand".