135624245503488 has 320 divisors, whose sum is σ = 414019598192640. Its totient is φ = 38647408730112.

The previous prime is 135624245503477. The next prime is 135624245503507. The reversal of 135624245503488 is 884305542426531.

It is a super-2 number, since 2×135624245503488² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 7757483995 + ... + 7757501477.

It is an arithmetic number, because the mean of its divisors is an integer number (1293811244352).

Almost surely, 2^{135624245503488} 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 135624245503488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207009799096320).

135624245503488 is an abundant number, since it is smaller than the sum of its proper divisors (278395352689152).

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

135624245503488 is a wasteful number, since it uses less digits than its factorization.

135624245503488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19377 (or 19361 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 60.

The spelling of 135624245503488 in words is "one hundred thirty-five trillion, six hundred twenty-four billion, two hundred forty-five million, five hundred three thousand, four hundred eighty-eight".