135796402248960 has 288 divisors, whose sum is σ = 438588095662080. Its totient is φ = 35805303742464.

The previous prime is 135796402248943. The next prime is 135796402248971. The reversal of 135796402248960 is 69842204697531.

It is a super-2 number, since 2×135796402248960² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135796402248891 and 135796402248900.

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, 255636111 + ... + 256166769.

It is an arithmetic number, because the mean of its divisors is an integer number (1522875332160).

It is a 1-persistent number, because it is pandigital, but 2⋅135796402248960 = 271592804497920 is not.

Almost surely, 2^{135796402248960} is an apocalyptic number.

135796402248960 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 135796402248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219294047831040).

135796402248960 is an abundant number, since it is smaller than the sum of its proper divisors (302791693413120).

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

135796402248960 is a wasteful number, since it uses less digits than its factorization.

135796402248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531433 (or 531419 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 135796402248960 in words is "one hundred thirty-five trillion, seven hundred ninety-six billion, four hundred two million, two hundred forty-eight thousand, nine hundred sixty".