135608400 has 180 divisors, whose sum is σ = 475733440. Its totient is φ = 35769600.

The previous prime is 135608387. The next prime is 135608401. The reversal of 135608400 is 4806531.

135608400 is a `hidden beast` number, since 13 + 5 + 608 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135608401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 500265 + ... + 500535.

Almost surely, 2^135608400 is an apocalyptic number.

135608400 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 135608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237866720).

135608400 is an abundant number, since it is smaller than the sum of its proper divisors (340125040).

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

135608400 is a wasteful number, since it uses less digits than its factorization.

135608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 135608400 is about 11645.1019746501. The cubic root of 135608400 is about 513.7622583965.

The spelling of 135608400 in words is "one hundred thirty-five million, six hundred eight thousand, four hundred".