135620811648 has 768 divisors, whose sum is σ = 489733171200. Its totient is φ = 36536500224.

The previous prime is 135620811643. The next prime is 135620811649. The reversal of 135620811648 is 846118026531.

135620811648 is a `hidden beast` number, since 1 + 3 + 5 + 620 + 8 + 1 + 16 + 4 + 8 = 666.

It is a super-3 number, since 3×135620811648³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135620811643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 296763036 + ... + 296763492.

It is an arithmetic number, because the mean of its divisors is an integer number (637673400).

Almost surely, 2^135620811648 is an apocalyptic number.

135620811648 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 135620811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244866585600).

135620811648 is an abundant number, since it is smaller than the sum of its proper divisors (354112359552).

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

135620811648 is an equidigital number, since it uses as much as digits as its factorization.

135620811648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 135620811648 in words is "one hundred thirty-five billion, six hundred twenty million, eight hundred eleven thousand, six hundred forty-eight".