135273600000 has 1584 divisors, whose sum is σ = 618666152832. Its totient is φ = 27648000000.

The previous prime is 135273599963. The next prime is 135273600017. The reversal of 135273600000 is 6372531.

It is a happy number.

135273600000 is a `hidden beast` number, since 1 + 3 + 52 + 7 + 3 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2217599970 + ... + 2217600030.

Almost surely, 2^135273600000 is an apocalyptic number.

135273600000 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 135273600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309333076416).

135273600000 is an abundant number, since it is smaller than the sum of its proper divisors (483392552832).

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

135273600000 is an equidigital number, since it uses as much as digits as its factorization.

135273600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 135273600000 its reverse (6372531), we get a palindrome (135279972531).

The spelling of 135273600000 in words is "one hundred thirty-five billion, two hundred seventy-three million, six hundred thousand".