135733390848 has 480 divisors, whose sum is σ = 459695934720. Its totient is φ = 39143301120.

The previous prime is 135733390843. The next prime is 135733390867. The reversal of 135733390848 is 848093337531.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 135733390794 and 135733390803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135733390843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689001886 + ... + 689002082.

It is an arithmetic number, because the mean of its divisors is an integer number (957699864).

Almost surely, 2^135733390848 is an apocalyptic number.

135733390848 is a gapful number since it is divisible by the number (18) 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 135733390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229847967360).

135733390848 is an abundant number, since it is smaller than the sum of its proper divisors (323962543872).

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

135733390848 is an equidigital number, since it uses as much as digits as its factorization.

135733390848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 135733390848 in words is "one hundred thirty-five billion, seven hundred thirty-three million, three hundred ninety thousand, eight hundred forty-eight".