135129200 has 60 divisors (see below), whose sum is σ = 325779000. Its totient is φ = 53863680.

The previous prime is 135129199. The next prime is 135129221. The reversal of 135129200 is 2921531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199262 + ... + 199938.

It is an arithmetic number, because the mean of its divisors is an integer number (5429650).

Almost surely, 2^135129200 is an apocalyptic number.

135129200 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 135129200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162889500).

135129200 is an abundant number, since it is smaller than the sum of its proper divisors (190649800).

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

135129200 is a wasteful number, since it uses less digits than its factorization.

135129200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 135129200 is about 11624.5085917642. The cubic root of 135129200 is about 513.1563828554.

The spelling of 135129200 in words is "one hundred thirty-five million, one hundred twenty-nine thousand, two hundred".