135004133320 has 128 divisors (see below), whose sum is σ = 361051315200. Its totient is φ = 44465780736.

The previous prime is 135004133311. The next prime is 135004133351. The reversal of 135004133320 is 23331400531.

It is a super-2 number, since 2×135004133320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735964 + ... + 900916.

It is an arithmetic number, because the mean of its divisors is an integer number (2820713400).

Almost surely, 2^135004133320 is an apocalyptic number.

135004133320 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 135004133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180525657600).

135004133320 is an abundant number, since it is smaller than the sum of its proper divisors (226047181880).

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

135004133320 is a wasteful number, since it uses less digits than its factorization.

135004133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165087 (or 165083 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 135004133320 its reverse (23331400531), we get a palindrome (158335533851).

It can be divided in two parts, 135004 and 133320, that added together give a square (268324 = 518²).

The spelling of 135004133320 in words is "one hundred thirty-five billion, four million, one hundred thirty-three thousand, three hundred twenty".