135452372590528 has 224 divisors, whose sum is σ = 317886152306688. Its totient is φ = 56038503628800.

The previous prime is 135452372590499. The next prime is 135452372590529. The reversal of 135452372590528 is 825095273254531.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135452372590529) 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, 25864494726 + ... + 25864499962.

It is an arithmetic number, because the mean of its divisors is an integer number (1419134608512).

Almost surely, 2^{135452372590528} 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 135452372590528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158943076153344).

135452372590528 is an abundant number, since it is smaller than the sum of its proper divisors (182433779716160).

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

135452372590528 is a wasteful number, since it uses less digits than its factorization.

135452372590528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9571 (or 9561 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 61.

The spelling of 135452372590528 in words is "one hundred thirty-five trillion, four hundred fifty-two billion, three hundred seventy-two million, five hundred ninety thousand, five hundred twenty-eight".