135345132 has 144 divisors (see below), whose sum is σ = 401157120. Its totient is φ = 38102400.

The previous prime is 135345131. The next prime is 135345137. The reversal of 135345132 is 231543531.

It is a junction number, because it is equal to n+sod(n) for n = 135345096 and 135345105.

It is not an unprimeable number, because it can be changed into a prime (135345131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275407 + ... + 275897.

Almost surely, 2^135345132 is an apocalyptic number.

135345132 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 135345132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200578560).

135345132 is an abundant number, since it is smaller than the sum of its proper divisors (265811988).

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

135345132 is a wasteful number, since it uses less digits than its factorization.

135345132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 559 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 135345132 is about 11633.7926747901. The cubic root of 135345132 is about 513.4295730430.

Adding to 135345132 its reverse (231543531), we get a palindrome (366888663).

The spelling of 135345132 in words is "one hundred thirty-five million, three hundred forty-five thousand, one hundred thirty-two".