135655942464 has 168 divisors, whose sum is σ = 458716164608. Its totient is φ = 37508520960.

The previous prime is 135655942439. The next prime is 135655942501. The reversal of 135655942464 is 464249556531.

135655942464 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 5 + 594 + 2 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 135655942464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417667 + ... + 667650.

Almost surely, 2^135655942464 is an apocalyptic number.

135655942464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135655942464 is an abundant number, since it is smaller than the sum of its proper divisors (323060222144).

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

135655942464 is a wasteful number, since it uses less digits than its factorization.

135655942464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085373 (or 1085360 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 135655942464 in words is "one hundred thirty-five billion, six hundred fifty-five million, nine hundred forty-two thousand, four hundred sixty-four".