135229600 has 144 divisors (see below), whose sum is σ = 365976576. Its totient is φ = 48787200.

The previous prime is 135229583. The next prime is 135229609. The reversal of 135229600 is 6922531.

It is not an unprimeable number, because it can be changed into a prime (135229609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1064737 + ... + 1064863.

It is an arithmetic number, because the mean of its divisors is an integer number (2541504).

Almost surely, 2^135229600 is an apocalyptic number.

135229600 is a gapful number since it is divisible by the number (10) 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 135229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182988288).

135229600 is an abundant number, since it is smaller than the sum of its proper divisors (230746976).

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

135229600 is a wasteful number, since it uses less digits than its factorization.

135229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 135229600 is about 11628.8262520342. The cubic root of 135229600 is about 513.2834418632.

The spelling of 135229600 in words is "one hundred thirty-five million, two hundred twenty-nine thousand, six hundred".