135521777664 has 576 divisors, whose sum is σ = 493203110400. Its totient is φ = 34892218368.

The previous prime is 135521777627. The next prime is 135521777701. The reversal of 135521777664 is 466777125531.

135521777664 is a `hidden beast` number, since 1 + 3 + 552 + 17 + 7 + 76 + 6 + 4 = 666.

135521777664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135521777627) and next prime (135521777701).

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 135521777664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72123477 + ... + 72125355.

It is an arithmetic number, because the mean of its divisors is an integer number (856255400).

Almost surely, 2^135521777664 is an apocalyptic number.

135521777664 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 135521777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246601555200).

135521777664 is an abundant number, since it is smaller than the sum of its proper divisors (357681332736).

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

135521777664 is a wasteful number, since it uses less digits than its factorization.

135521777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1947 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The spelling of 135521777664 in words is "one hundred thirty-five billion, five hundred twenty-one million, seven hundred seventy-seven thousand, six hundred sixty-four".