135825203328 has 256 divisors, whose sum is σ = 384824294400. Its totient is φ = 42326323200.

The previous prime is 135825203281. The next prime is 135825203333. The reversal of 135825203328 is 823302528531.

It is a self number, because there is not a number n which added to its sum of digits gives 135825203328.

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, 215253573 + ... + 215254203.

It is an arithmetic number, because the mean of its divisors is an integer number (1503219900).

Almost surely, 2^135825203328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135825203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192412147200).

135825203328 is an abundant number, since it is smaller than the sum of its proper divisors (248999091072).

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

135825203328 is a wasteful number, since it uses less digits than its factorization.

135825203328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 135825203328 in words is "one hundred thirty-five billion, eight hundred twenty-five million, two hundred three thousand, three hundred twenty-eight".