135774388512 has 576 divisors, whose sum is σ = 513484272000. Its totient is φ = 34585657344.

The previous prime is 135774388481. The next prime is 135774388559. The reversal of 135774388512 is 215883477531.

135774388512 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 7 + 43 + 88 + 512 = 666.

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

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, 13669564 + ... + 13679492.

It is an arithmetic number, because the mean of its divisors is an integer number (891465750).

Almost surely, 2^135774388512 is an apocalyptic number.

135774388512 is a gapful number since it is divisible by the number (12) 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 135774388512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256742136000).

135774388512 is an abundant number, since it is smaller than the sum of its proper divisors (377709883488).

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

135774388512 is a wasteful number, since it uses less digits than its factorization.

135774388512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9998 (or 9977 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 135774388512 in words is "one hundred thirty-five billion, seven hundred seventy-four million, three hundred eighty-eight thousand, five hundred twelve".