135129600 has 480 divisors, whose sum is σ = 548000640. Its totient is φ = 32440320.

The previous prime is 135129593. The next prime is 135129601. The reversal of 135129600 is 6921531.

135129600 is a `hidden beast` number, since 1 + 3 + 51 + 2 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135129601) 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, 5875189 + ... + 5875211.

It is an arithmetic number, because the mean of its divisors is an integer number (1141668).

Almost surely, 2^135129600 is an apocalyptic number.

135129600 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 135129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274000320).

135129600 is an abundant number, since it is smaller than the sum of its proper divisors (412871040).

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

135129600 is a wasteful number, since it uses less digits than its factorization.

135129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 135129600 is about 11624.5257967798. The cubic root of 135129600 is about 513.1568891914.

The spelling of 135129600 in words is "one hundred thirty-five million, one hundred twenty-nine thousand, six hundred".