135490144608 has 864 divisors, whose sum is σ = 515733674400. Its totient is φ = 34448633856.

The previous prime is 135490144561. The next prime is 135490144627. The reversal of 135490144608 is 806441094531.

135490144608 is a `hidden beast` number, since 1 + 3 + 549 + 0 + 1 + 44 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 207488410 + ... + 207489062.

It is an arithmetic number, because the mean of its divisors is an integer number (596913975).

Almost surely, 2^135490144608 is an apocalyptic number.

135490144608 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 135490144608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257866837200).

135490144608 is an abundant number, since it is smaller than the sum of its proper divisors (380243529792).

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

135490144608 is a wasteful number, since it uses less digits than its factorization.

135490144608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 135490144608 in words is "one hundred thirty-five billion, four hundred ninety million, one hundred forty-four thousand, six hundred eight".