135332964 has 96 divisors (see below), whose sum is σ = 387233280. Its totient is φ = 40608000.

The previous prime is 135332927. The next prime is 135332969. The reversal of 135332964 is 469233531.

It is a happy number.

135332964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135332964² = 36630022290050592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135332969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56389 + ... + 58739.

It is an arithmetic number, because the mean of its divisors is an integer number (4033680).

Almost surely, 2^135332964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135332964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193616640).

135332964 is an abundant number, since it is smaller than the sum of its proper divisors (251900316).

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

135332964 is a wasteful number, since it uses less digits than its factorization.

135332964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2410 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 135332964 is about 11633.2697037419. The cubic root of 135332964 is about 513.4141862113.

The spelling of 135332964 in words is "one hundred thirty-five million, three hundred thirty-two thousand, nine hundred sixty-four".