135181083027600 has 405 divisors, whose sum is σ = 487201961516907. Its totient is φ = 36043266055680.

The previous prime is 135181083027593. The next prime is 135181083027667. The reversal of 135181083027600 is 6720380181531.

It is a happy number.

The square root of 135181083027600 is 11626740.

It is a perfect power (a square), and thus also a powerful number.

135181083027600 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 8 + 1 + 0 + 8 + 30 + 2 + 7 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18886081939344 + 116295001088256 = 4345812^2 + 10784016^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18835315212 + ... + 18835322388.

Almost surely, 2^{135181083027600} is an apocalyptic number.

135181083027600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135181083027600 is the 11626740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135181083027600

135181083027600 is an abundant number, since it is smaller than the sum of its proper divisors (352020878489307).

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

135181083027600 is an frugal number, since it uses more digits than its factorization.

135181083027600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14396 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 135181083027600 in words is "one hundred thirty-five trillion, one hundred eighty-one billion, eighty-three million, twenty-seven thousand, six hundred".