135334390464 has 1008 divisors, whose sum is σ = 531215193600. Its totient is φ = 33767000064.

The previous prime is 135334390447. The next prime is 135334390507. The reversal of 135334390464 is 464093433531.

135334390464 is a `hidden beast` number, since 1 + 35 + 33 + 43 + 90 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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, 188225497 + ... + 188226215.

It is an arithmetic number, because the mean of its divisors is an integer number (526999200).

Almost surely, 2^135334390464 is an apocalyptic number.

135334390464 is a gapful number since it is divisible by the number (14) 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 135334390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265607596800).

135334390464 is an abundant number, since it is smaller than the sum of its proper divisors (395880803136).

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

135334390464 is a wasteful number, since it uses less digits than its factorization.

135334390464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 135334390464 in words is "one hundred thirty-five billion, three hundred thirty-four million, three hundred ninety thousand, four hundred sixty-four".