135582323712 has 132 divisors (see below), whose sum is σ = 397216387008. Its totient is φ = 41085440000.

The previous prime is 135582323641. The next prime is 135582323729. The reversal of 135582323712 is 217323285531.

It is a tau number, because it is divible by the number of its divisors (132).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189337 + ... + 554087.

Almost surely, 2^135582323712 is an apocalyptic number.

135582323712 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 135582323712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198608193504).

135582323712 is an abundant number, since it is smaller than the sum of its proper divisors (261634063296).

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

135582323712 is a wasteful number, since it uses less digits than its factorization.

135582323712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364796 (or 364767 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The spelling of 135582323712 in words is "one hundred thirty-five billion, five hundred eighty-two million, three hundred twenty-three thousand, seven hundred twelve".