135493392384 has 768 divisors, whose sum is σ = 495331200000. Its totient is φ = 35715022848.

The previous prime is 135493392379. The next prime is 135493392389. The reversal of 135493392384 is 483293394531.

135493392384 is a `hidden beast` number, since 1 + 3 + 549 + 3 + 3 + 92 + 3 + 8 + 4 = 666.

135493392384 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 (135493392379) and next prime (135493392389).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 135493392384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135493392389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388233042 + ... + 388233390.

It is an arithmetic number, because the mean of its divisors is an integer number (644962500).

Almost surely, 2^135493392384 is an apocalyptic number.

135493392384 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 135493392384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600000).

135493392384 is an abundant number, since it is smaller than the sum of its proper divisors (359837807616).

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

135493392384 is a wasteful number, since it uses less digits than its factorization.

135493392384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 437 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 135493392384 in words is "one hundred thirty-five billion, four hundred ninety-three million, three hundred ninety-two thousand, three hundred eighty-four".