135233104000 has 128 divisors (see below), whose sum is σ = 342569288880. Its totient is φ = 53072281600.

The previous prime is 135233103989. The next prime is 135233104037. The reversal of 135233104000 is 401332531.

It can be written as a sum of positive squares in 8 ways, for example, as 38638656 + 135194465344 = 6216^2 + 367688^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768264 + ... + 927736.

Almost surely, 2^135233104000 is an apocalyptic number.

135233104000 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 135233104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171284644440).

135233104000 is an abundant number, since it is smaller than the sum of its proper divisors (207336184880).

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

135233104000 is an equidigital number, since it uses as much as digits as its factorization.

135233104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159555 (or 159533 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 135233104000 its reverse (401332531), we get a palindrome (135634436531).

The spelling of 135233104000 in words is "one hundred thirty-five billion, two hundred thirty-three million, one hundred four thousand".