135693600 has 288 divisors, whose sum is σ = 519716736. Its totient is φ = 30105600.

The previous prime is 135693589. The next prime is 135693617. The reversal of 135693600 is 6396531.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688702 + ... + 688898.

It is an arithmetic number, because the mean of its divisors is an integer number (1804572).

Almost surely, 2^135693600 is an apocalyptic number.

135693600 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 135693600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259858368).

135693600 is an abundant number, since it is smaller than the sum of its proper divisors (384023136).

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

135693600 is a wasteful number, since it uses less digits than its factorization.

135693600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 135693600 is about 11648.7595906174. The cubic root of 135693600 is about 513.8698313307.

The spelling of 135693600 in words is "one hundred thirty-five million, six hundred ninety-three thousand, six hundred".