135654770664 has 384 divisors, whose sum is σ = 460609044480. Its totient is φ = 35172403200.

The previous prime is 135654770627. The next prime is 135654770711. The reversal of 135654770664 is 466077456531.

135654770664 is a `hidden beast` number, since 1 + 3 + 565 + 4 + 7 + 70 + 6 + 6 + 4 = 666.

135654770664 is nontrivially palindromic in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 135654770664.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87915477 + ... + 87917019.

It is an arithmetic number, because the mean of its divisors is an integer number (1199502720).

Almost surely, 2^135654770664 is an apocalyptic number.

135654770664 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 135654770664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230304522240).

135654770664 is an abundant number, since it is smaller than the sum of its proper divisors (324954273816).

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

135654770664 is a wasteful number, since it uses less digits than its factorization.

135654770664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 135654770664 in words is "one hundred thirty-five billion, six hundred fifty-four million, seven hundred seventy thousand, six hundred sixty-four".