135932608512 has 340 divisors, whose sum is σ = 420596353320. Its totient is φ = 43698880512.

The previous prime is 135932608439. The next prime is 135932608519. The reversal of 135932608512 is 215806239531.

135932608512 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 32 + 608 + 5 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135932608519) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 153943623 + ... + 153944505.

It is an arithmetic number, because the mean of its divisors is an integer number (1237048098).

Almost surely, 2^135932608512 is an apocalyptic number.

135932608512 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 135932608512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210298176660).

135932608512 is an abundant number, since it is smaller than the sum of its proper divisors (284663744808).

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

135932608512 is an frugal number, since it uses more digits than its factorization.

135932608512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 135932608512 in words is "one hundred thirty-five billion, nine hundred thirty-two million, six hundred eight thousand, five hundred twelve".