135525736320 has 256 divisors, whose sum is σ = 465617678400. Its totient is φ = 33331544064.

The previous prime is 135525736319. The next prime is 135525736327. The reversal of 135525736320 is 23637525531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135525736327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56633044 + ... + 56635436.

Almost surely, 2^135525736320 is an apocalyptic number.

135525736320 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 135525736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232808839200).

135525736320 is an abundant number, since it is smaller than the sum of its proper divisors (330091942080).

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

135525736320 is a wasteful number, since it uses less digits than its factorization.

135525736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 42.

The spelling of 135525736320 in words is "one hundred thirty-five billion, five hundred twenty-five million, seven hundred thirty-six thousand, three hundred twenty".